Let me make sure I understand you on this.
When you are going up hill in 3rd gear it will suddenly rev high? Is it physically popping out of gear when you reach for the shifter? It sounds like a clutch to me, if it is slipping when you put a load on it. Manuals don't sometimes work, they either do or the don't. How many miles are on this clutch? How do you drive, do you use the clutch a lot, or do you stay off it except for taking off and shifting? Most shops will charge around $400-500 for labor and parts to replace a clutch disc, slave, throwout bearing, pilot bearing, and pressure plate. The parts are going to be around $150-200 if you want to spend the 4 hours to do it yourself.
Nick