I need advice!

So my baby HATES sleeping on his back. Absolutely hates it and has since he’s been born. I was hoping he’d outgrow it by now but he’s still only sleeping 30 minutes at a time until he wakes up screaming. I know it’s bad but we usually end up giving in and having one of us stay awake sitting on the couch while he sleeps on top of us. I’ve asked his doctor multiple times if there’s any possible way we could put him on his tummy but because he cant really roll yet she says no. He has figured out a few times how to get on his side and he’ll sleep for almost four hours straight which is amazing. I’m thinking about putting him on his stomach anyway and just keeping an eye on him the first few nights. Is that a terrible idea? Would anyone else do the same thing? My husband and I are exhausted and have run out of ideas at this point. I keep wondering if there’s something wrong since he seems physically pained while on his back but because he’s already on medicine for acid reflux and gaining weight fine his doctor said it’s just his personality 🙄