Yuck. So your basic question is whether you should ever raise, anywhere, in a hand where you hit trips with a good kicker and make a boat on the turn? I really don't understand what you're trying to accomplish here.

Giving him a free card on the flop when he may be on the flush draw is sucky. Once you hit the boat on the turn, you have to find somewhere to raise. Why not check/raise the turn, or the river? As played, you must 3-bet this river. Villain is going to raise any holding that includes a 4 as he isn't likely to put you on the ace (hell, the way you played, you could be value betting a pair of kings on the river.)