Blower fan ramps up when you turn up the switch, however air seems choked off. Maybe damper is stuck? Where is it located?

First you need to check your rear mode settings, maybe the air is just diverted somewhere. You can confirm by sound or feel if the rear blower is indeed spinning or not when turned on. If blower fan seem to be working, then it is an air distribution issue you have. But if this fan is not spinning, you may want to check the two 15amp fuses located inside glove box fuseblock. That's for the rear ac blower (check out the labels) and they always come and work together. Have a nice day.

Since it is intermittent. Check plugs to the controller and blower.

Could be a bad blower motor resistor,mounted by the blower.

A mechanical fan/blower control that's stuck on 4 is a worn/faulty switch. The blower motor fuse could be blown or the blower motor is dead. A electronic fan/blower control that's stuck on 4 with no blower could be a blown fuse in your fuse box, the blower motor is dead or the climate control reading itself could be sending a false reading or the unit tself iis faulty.

See if you can find the exact location of the noise.
When you replaced the blower, did you clean out the plenum all the way back to the air inlets? There is some play in the blower bearings which can cause rubbing when starved for air. Also, could be rubbing on debris in the plenum.
Another possible cause of this noise is a fluttering damper. Depending on the HVAC option you have, the mixing and duct selection dampers may not be opening/closing properly. If they are vacuum actuated, there may be a leak at or in a control solenoid or the switch. Try all temperature and vent settings to see if the noise changes. If they are working properly and the noise continues, then it's usually a blower problem or not the HVAC system making the noise.

wow, 3 fans in car and we get to guess,why.?
first what are you doing.? (guess,i want cab heat to blow?)
parked key off?
hot engine wanting heat from HVAC vents
? what?
or under hood and radiator fans are dead but overheated.

HVAC is a blower fan,or blower, the fuse is called blow.
does blower sound ok on high???? SouND?
if yes (if no controls are bad)
is air flow weak. yes. that is dampers failing
both the blower and dampers and heater core are in the center
tor right(usa) of dash in hugh black box.
first check fuses
then scan the car. yes, you must scan it see HVAC errors
or its all just a waste of time..

some models have filter and packed up ,my block air flow
some have it others dont,. not fun finding it.
most are behind glove box (after removal)

The blower fan relay is located in the fuse box on the driver's side fender-well. A Jeep Cherokee uses an electric fan as an auxiliary fan for engine cooling and for cooling the air conditioning condenser when the air conditioning is in operation. A radiator temperature-sensing switch that activates the fan relay at 198 degrees F turns the fan on and controls its operation. The temperature drops when the vehicle is in motion and the switch turns the fan off. When the air conditioning system is in operation, the air conditioning relay supplies power to the fan relay via a fan diode downstream from the ignition switch. This diode activates the fan relay and keeps the fan operating as long as the air conditioning is on. Thanks. you can rate this solution and show your appreciation.

You seem to be on the right track. You can manually jump the compressor clutch, to come on and see if she blows cold air. Follow
the compressor clutch wiring back to the evaporator. There should be
a 2 wire harness there with a connector. Take the wiring connector off
and install a small jumper wire between the 2 terminals. this should
automatically make your compressor clutch engage , regardless of
freon level or head pressure switch condition. You may also have a
vacumm leak, which controls your heater damper actuator. Check all
the vacumm hose in the engine bay and try to locate the damper in
the dash, so you can manually pull the damper open, to see how it
helps your situation.Good luck.

Removal & Installation

1. Before servicing the vehicle, refer to the Precautions section.
   
2. Disconnect battery negative cable from remote negative terminal on shock tower and properly isolate to prevent accidental reconnection.
   
3. Remove or disconnect the following:
   
   • Glove box assembly
     
   • Joint duct
     
   • Resistor
     
   • Blower fan and motor
     
   • Air changeover damper motor
     
   • Blower assembly
     

To install:

1. Install or connect the following:
   
   • Blower assembly into duct
     
   • Air changeover damper motor and reconnect the electrical plug
     
   
   NOTE Lubricate the damper motor's slide contacts with multi-purpose grease
   
   
   • Blower fan and motor into the plenum and reconnect the electrical plug
     
   • Resistor on the joint duct
     
   • Joint duct to blower assembly
     
   • Glove box assembly
     

The blower motor is located on the right side of the heater housing.

1. Disconnect battery.
   
2. Remove the lower right under panel silencer duct.
   
3. Remove the blower motor connector from resistor block.
   
4. Remove the blower motor case retaining screws.
   
5. Lower blower motor case from housing
   
6. Remove the fan scroll from motor shaft.
   
7. Remove the motor from motor case.
   

Blower motor (1)

To install:

1. Install the in reverse order of removal.
   

You blower fan obviously works. Try replacing the fan speed switch.