Don't think you can include JJ,QQ or AK in his range since he'll 3 bet pre most of the time, also think a PP would be unlikely to do this with his stats.

His range might look something like {QT,KJ,AQ,AJ,AT,A9,A8,JT,T9,KT}, I'd probably call the min raise and c/f all non A turns because I think he might pot control with some weaker Ax hands by checking back (depends on how he views you), Queen would be a bad card as it would stop us getting value from hands like AJ and give Tx the nuts.

I don't think we should try to play a big pot here.