I'd put him on a flush draw with Ax and the x most likely one of the board cards to give him pair + tk and maybe putting you on overcards., with that board I'd probably push.

Since you have said he's aggressive and moves from tight to loose, I'd say if he had a pair or A + high then he'd push back at your raise rather than calling.

I also don't put him on holding 35 with that raise into him preflop so I think you don't have to worry about the straight andless the 3 or 5 is also part of his Ax.

Worst case here I think you are looking at probably A3 or A5 of diamonds and he figures he has enough outs to beat you even if he has the least of it currently.