Yeah lock tite is fine just use the right type for the temp range, you could also try studs glued in with nuts that have locking threads.

I had a Toyota that would do the same thing, I ended up running studs with locktite and staked around the holes after the studs were in place to tighten them in more, I used nuts with locking threads too, they have waves in the treads so they bite into the threads of the stud.