$35K was my budget for a GT500 also, never saw any 2010s at that price that weren't damaged or had very, very high mileage, ended up getting a 2007 for $27K. I would say either up your budget by $5K or look at the 2007-2009 years. Or find that really good deal on a 2010 that I never did. Good luck.
I have just posted my 2010 for sale. Grabber blue/white stripes. Mod list is in the thread I made. I'm asking $39,300. PM me or text me (number In thread) if you are interested