I don’t know enough about your son to make that decision for you. Like I said, they are both very good Yeshivas. It would be a good idea to send him to either Yeshiva.
I’m not sure what the whole deal is with Shomer Enayim as this is the first I’m hearing of it, but it sounds like something that is a personal decision that could change over time (he is after all only 13). Both Yeshivas are good places if you want him to keep to that decision. But then again, in both places there are guys who would do the opposite. It’s his choice who he hangs out with.