You're analysis is correct. Unfortunately we have to muck winners sometimes to avoid losing big in a hand. You are a dog to end up with the best hand in this large of a field. Making a big move here like potting it is only good in the back, not up front. There are far too many hand possibilities to risk it. Check and hope it checks around or you only get a bet from the button trying to steal or betting a naked A/2 or A/3. Then make your decision on the turn depending what hits. But the check/muck is the best play.