Air conditioner compressor has seized; would like to bypass but understand no bypass pulley is available; how do I do this without this pulley? Can I simply put on a shorter belt?

Odds are you can't. The ac compressor is mounted in the belt routing so it would need the pulley to keep the belt tight.
You can get a used compressor from a salvage yard and mount it in place of your old part if necessary. It will allow the belt to run even if it has no freon in the system.
There are a few vehicles that a replacement dummy pulley was designed for, but I am not aware of one for your vehicle. Usually if you try to run the belt without the compressor pulley, it will rub against something or not allow the belt to run in the right direction.

If the compressor is seized, you will know when you turn on the AC, as the belt will shriek like a banshee usually. And yes you can usually just bypass it with a belt for the same model as yours without AC. If there werent any built without AC, you can try another model with the same engine. If all else fails, you can use a small mason's rope to pass through the pulleys without the AC and mesure the length of the rope needed to do so, then count the number of ribs on the original belt. Any good counter parts guy will be able to find you a belt that will fit the measurements as close as possible.

Get a compressor from a junkyard. All you need is for the pulley to spin if you don't care about having working ac.

If the pulley on the compressor will not turn freely, then yes if a bypass pulley exists you would need to use it in place of the compressor.
If the compressor pulley turns but the compressor is locked up, just unplug the compressor clutch.

Yes, the bypass pulley fits into the same area that the compressor will have to be removed from.

If it's for fuel efficiency, some people just remove the wiring/plug from the compressor and tape it to the side so that it won't engage, if the clutch isn't damaged it's the same as using a bypass pulley.

Also, the clutch can be replaced and used instead of the bypass pulley, in the event it is bad, retaining the ability to go back to an A/C system should you ever desire.

Good luck !

The cause of this is that the roller bearing that the AC compressor pulley turns on is frozen up, the bearing can be replaced but you will need to buy the pulley assembly to get the bearing and you will need a special puller to remove the pressed on pulley. As far as finding a proper belt size to bypass the compressor that is nearly impossible to do, you may get the measurements right but in most cases the belt size you need will not be available, When the factory builds a car or truck with "AC Delete" they install a bypass pulley and the same belt is used for both with and without AC. The cost to replace the bearing is low, and that would be the by far the easiest thing to do here. You can buy the AC tool you need online, just google the year and make.

PART # K060551 BYPASS COMPRESSOR AND ON YOUR WAY

Hello
Yes you can bypass the AC compressor with a special pulley that goes where the compressor was. The Factory calls it the "AC Delete" pulley so all engines use the same belt. The pulleys are made by a company called DORAM, contact a local Napa or Carquest auto parts store for ordering information. The pulley is about $30.00

Yes you can, here's the diagram for a/c and without a/c, hope this was every helpful.

The car did not come without a/c so there isn't anything really available to get around your problem. If you are creative, you can make up a bracket and idler pulley to put in place of the compresor but you will need to experiment with belts to get the correct length.