Any steel rated choke should have no problems with Tungsten. I won't do it again but it even shot fine in a poly choke. Anything not rated for steel check with the manufacturer.

Briley uses some good steel in their chokes. I think 410 for the stainless ones and the standards are comparable to rifle barrel steel and may be tempered..

"When you disarm the people, you commence to offend them and show that you distrust them either through cowardice or lack of confidence, and both of these opinions generate hatred." Niccolo Machiavelli