"Spokes are cheap"...perhaps individually but at $3 per spoke for quality standard spokes and you relace the entire wheel of say 32 spokes all of a sudden you are dropping $100 just for the spokes...add labor and yep looking at over $200 to relace a wheel.
Where are the spokes breaking? At the same spot on all of them? Are they "J" bend or straight pull? If at the bend on J bend it could be the spoke or the hub...lots of reasons why a spoke breaks.
There are very good cost/value carbon wheelsets out there that don't cost a fortune...Elite and Super Team come immediately to mind...also ebay is a source of used and new wheels if you don't want to buy from a bike shop.
Learning how to replace a spoke isn't too hard but it can be a bit of a chore to get the right spoke type and length. You will need a variety of tools including a cassette removal tool, for rear wheel, proper nipple wrench and perhaps some sort of a spoke holder for bladed spokes...an adjustable wrench will work with a bit of tape on the faces so you don't scratch the spoke...then of course some sort of a 'truing stand'...it can be as little as a zip tie cut to length of a proper truing stand...then the knowledge of the 'art of truing'...it is as much art as science...good luck and keep us informed...