I think it is really achievement is not matching potential. Sadly thousands of kids have to find a way through... I would make sure you rule out any basic barriers. And then start looking at your options... will any other school districts with better gt let you in without residency (not common these days but worth checking), what are all the non-your- district options do you have, "private" for gifted can in some cases be charter or catholic schools which - in a few cases - will get you small class size and more attention.
To all, always try to find a word choice other than bored in conferences - rubs them the way false claims of differenciation rub me ;-)
I'm not sure how your district keeps a 134 out of the program. Read the policies on their appeal process - as it sounds like you have test scores and a pysch eval on your side. Advocate and appeal (and make sure barriers are not around) before tossing out your retirement savings ;-)
imho
