I bought my 2010 SR5 (v6, no nav or leather) with 34kmi with a toyota extended warranty for $27k this week. I saw a lot of 2010s/2011s listing in the $28-32k range with under 50,000 miles all at dealers, most toyota CPO. More for Trail Editions and Limiteds, obviously.
With the work you have into yours, you could probably ask on the higher end of the spectrum, say $30k. I'm assuming you still have some of the original 3y/36k warranty left? That should transfer to a new owner, and they could also add on an extended warranty on their own if they wanted before they hit the 36k mark.
I think your biggest obstacles are marketing to someone with that kind of cash or credit, and getting someone ready to buy that's not looking to trade a vehicle in to a dealer. I think a lot of people in the >$10k ballpark typically have something to trade (often with some $$ owed on it) and go to a dealer because they don't have to deal with selling their own car or the hassle of shopping for loans on their own. If you still owe money on yours that creates another hiccup of a buyer 1)paying you 2)you paying the bank 3)you attaining the lein release then 4)you turning the vehicle over to the owner with the title and lein release. With the right buyer, this is all no problem, but the average joe consumer wants everything right now. As with any modified vehicle your audience/market is narrow, but as my grandfather always said "every ass has a seat!"
I know you didn't ask for all that, and I'm not trying to be "that guy" I'm just offering my $.02 as a buyer and as someone who has worked in multiple dealers. A private sale is always a challenge when the price is high.
Good luck!