AC is blowing but not coming out the vents

Do you have an AC pollen and dust filter? If so it is likely plugged and no air flow is getting through. Another cause of this is that the AC condenser core inside the dash is plugged with dirt and leaf matter (cars without any filter) I really need the make, model, year to be more precise.

your problem could be in your control switch panel itself. pull out the control panel and check the connections with a Probe Light Tester. The following video is for a Volvo but is used here only to give you an understanding of how to remove your A/C Control unit to check for poor circuitry. https://www.youtube.com/watch?v=SmCKFx1B4cA

These vehicles came with 2 types of ac controls.
The vacuum control system uses vacuum to actuate the vents and ducting from hot to cold. A lot of times the HVAC vacuum line in the engine bay (black hard plastic) is either broken or disconnected from its vacuum source.
The electronic vent control: does everything at the control knob via vent actuators and the control panel itself. With this one it could be any of the components. You would have to locate them and verify operation by moving temp/vent selector.

replace the switch its self.. you can search ebay motors under electrical and find one easily.. also they remove easily and just plug in the back..

does the car have automatic climate control?

Sounds like a bad actuator, the actuator is a small motor used to control a door in the heater box, there are a few doors to control temp of air and then one for mode (location of air blowing out ) and one for recir. try to locate and unplug it and replace the fuse and see if that stops the fuse from popping if it does then replace the actuator.

The heater blend door actuator (motor) is faulty.Replace actuator

It's been awhile but I think the doors are vacum operated

Check and replace the right side temp-controller.

check vacuum lines under hood for leaks