I gotta say I don't like the turn re-raise. It's hard to believe you are good here more than 10% of the time as there are no draws for him to be semi-bluffing with. Unless the guy has shown himself to be a hyperaggressive maniac bluffer not too many people bluffcheckraise the turn against the preflop raiser with an A flopping.

You essentially got the best outcome you could hope for, he called and you got a free showdown. If you has a hand than might improve i.e. greater than 2 outs - like you picked up a flush draw on the turn, then I like it as the combined chance he will fold (very low) plus the chance for either a free showdown or to bet if you get the flush on the river might make it worth it. But with only two outs it is not a good play in my humble opinion.

I would have folded to the checkraise. If you call you are obligated to call the river bet that will surely come. I like aggressive poker, but if you decide not to fold the turn, with your turn reraise the chance he:

[will reraise your turn reraise + chance he calls and bets into you on river] >>>> [he folds + calls and free showdown (which happened)] = losing more money than just calling it down