Actually that will probably improve your chances of getting a bid - Greeks look for people who are well rounded. Especially if you're in something visible like theater!
Your school will probably have some sort of meet the Greeks thing and then you can find out when the rush parties are for the fraternity you're interested in. You can bring up then that you have rehearsal/performance and see if you are allowed to come meet the guys some other time. Fraternity rush is a lot less structured than sorority rush so it might be less of a problem than you think.
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