Looks fine to me, betting once and then giving up.
Your other option is to just check it down and give up. Hope that he rarely bluffs you, and that he doesn't turn his pocket pairs into a bluff. A decent option vs passive players. Maybe you can c/c River if he stabs the River cos passive players tend to bluff on the River the most often.
When you ask yourself about the reasons for betting,
1) Can we bet for value? Unlikely. I think lower PPs fold, so at most hands like JT AT AJ can call. And those hands will bluff us out on future streets, and we have 2 Ts ourselves.
2) Can we bet as a bluff? Nope. JJ and QX and KX are never folding.
3) We are probably only betting to take down the dead money in the pot immediately.