If you know more about his stupid 3 bet...for example:

Board: 5h Js 7h
Dead:

equity win tie pots won pots tied
Hand 0: 52.652% 43.18% 09.47% 12825 2812.50 { AhKh }
Hand 1: 47.348% 37.88% 09.47% 11250 2812.50 { TT+, AKs, AKo }

...you are a favourite over his range.
If you start adding AQ, 99 and 88 the check raise is a no brainer.