Flat Head

Andrea • Tommy arrived 12-5-16 ❤️
Hi Ladies,
So my son is 11 weeks old and has pretty noticing every flat head. I've gotten rid of the rock n play (I think letting him sleep in there for prolonged times caused it) and I hold him as often as I can and we do a minimum of 30 minutes of Timmy time daily but it's not getting better. No matter how many times I rotate his head at night he still sleeps on the flat part of his head. I even mounted a crib toy with lights and music to encourage him to turn his head to watch it but he isn't interested. 
I was wondering if anyone has tried the flat head beanie!? For some reason my gut tells me they're unsafe, what if he needs to turn his head to avoid suffocating and he can't? I may very well be overthinking this. Has anyone used it? What are your thoughts? Any other suggestions to help his flat head? I don't want my poor baby to be in a helmet all summer.