Re: advice concerning bari saxes.
Well, sorry to hear about the dismall state of your music program. I know it is always hard because it seems like there is never enough funding.
I really do suggest bugging your band teacher about it. Also, having many baris that don't work is worse than having ONE that does work. See if he would be interested in selling all but the best horn and putting the money from selling the others into fixing the one.
Remind him (and I am biased beacause I'm a bari player) that a good sounding bari REALLY helps a saxophone section. In my opinion, the only seat more important than bari is the lead alto.
However, if you have no luck getting him/her to get any of the horns fixed and you are willing to bite the bullet yourself, I would take all three to a skilled repair man and tell him you have a limited budget and would like to make one of the horns in decent working condition. Sometimes you would be surprised that a simple adjustment or fixing a couple of jacked up pads can actually make a huge differance.
You could check on getting the neck fixed one the one (however if the tubing connection to the neck it out of whack it could get costly). Now this is just a guess based on no info, but the horn that has a bad upper register might just have something leaking in the register mechanism. I've had that problem before and it was a quick and cheap fix. Also, a lot of times the G# key can not be lifting properly and can make the upper register weird. Sometimes, it can also just be the upper end of the horn being out of alignment, which can be a 30 second fix in the hands of a skilled repairman (often times they won't even charge you a cent if this is the case).
So, there are some things to think abou. Also, see if you could share horns with the other bari player. I did this for a little while in high school. Each player has their own mouthpiece and reed setup and they just coordinate who gets the horn at differant times. This of course doesn't work if you are both playing in the same ensemble (like wind symphony or something).
Well, best of luck to you. I hope it works out.