A/C fuse keeps blowing

In the fall I had error code on the screen that said, Engine overheating A/C shut off. This code only came up once and I thought it was because my coolant was low. Refilled Coolant everything was fine, Now my A/C is not working, I just had Freon put in because I thought I was out, Now it keeps blowing the 10 amp fuse. Any ideas what is going on?

Chevy said they would have to do a diagnostic $90.00 and if it's A/C compressor wit labor is $890.00 and I just don't have it. A few months ago the throttle body went bad and they did a diagnostic then wouldn't the code come up? Can you give me any tips how to Diagnose the problem myself?

My other mechanic said to unhook the belt and see if the clutch engages with the A/C on and engages with A/C off? And if does engage what could be causing the fuse to blow? And if doesn't engage I take it that means it needs a new clutch?