I believe your problem is simply going to be a brake light switch. It is not part of a "box of switches". The OEM part # is 12450076 and will cost around $13. You can find this part at any local parts store, as its a pretty common problem. Why the shop told you all that before trying to swap out the $13 part with a labor time of .2hrs is beyond me. I believe its worth a shot for $13 and 10min work.
REMOVAL:
Remove or Disconnect
Install or Connect
Chevy Mechanic
16yrs diagnosis and repair. RI CIT#8960.