Our tigers do not bite! They survived this past winter; the several rainbows we had last fall have disappeared. I'd heartily recommend tiger trout for eating chubs. But, will they negatively impact your perch? They certainly can catch anything they want in the pond.
Three of our TT feed in close to the dock with the GSF and BG when I'm hand tossing meal worms and Optimal. The trout will take an occasional meal worm, but decidedly prefer the floating pellets. Smaller sunfish move out of the way as the trout cruise through. The biggest TT (approximately 20") is a humpbacked fellow. When the pellets are gone, it will nip at the tails of the largest BG (8" to 10"). They just move to the side. That part of feeding is really entertaining, as you can imagine.
