1996 Buick Century bybassing the A/C

Obviously, if you remove the compressor, you'll have to either remove the hoses leading to it or somehow secure them from flopping about. The same with the wire to the compressor. You will still have heat, and defrost might not work as well, but it should still blow. Normally, defrost runs both the a/c and heater together, the a/c to dry the air. I'd also remove the fuse to the a/c compressor just for safety with that wire.