When I was considering a job too far away for a daily commute from home. Mines a 27, no fridge, has a/c but no heat (winter! almost forgot about that), no shower, the list goes on. OK, so after a quick reality check I realized that this was a completely ridiculous idea --the job probably wouldda sucked anyway.
To get the amenities to live aboard comfortably (still a compromise on a boat) would mean a much larger boat, out of the 6k price range you are looking for.
Maybe you could finagle an OPB deal?
Good luck and get back to studying!