[mojed]

I think he often plays an overpair like this. AKdd and AQdd are also in his range, and the odd AK, AQ getting aggro at your donk bet.

So lets see, JJ+ is 24 hands against which we have ~9% equity, AKdd and AQdd (and TT) make up 3 hands where it's a flip, and even if he plays half his remaining AK/AQ this way its 15 hands against which we have 75% equity. I fold. I think, lets stove it:

equity win tie pots won pots tied
Hand 0: 34.534% 33.20% 01.34% 23875142 960799.50 { TdTs }
Hand 1: 65.466% 64.13% 01.34% 46120027 960799.50 { TT+, AKs, AdQd, AKo }

Yeah it's just a fold (given dead money) and that's with a fairly liberal range of semibluffs with AK for villain.