Our baby had reflux till about 5 months old though maybe not as severe as your baby as Gaviscon seemed, eventually, to work for us. I would definitely recommend trying medication. In addition though we spent the first four months letting baby suck the end of our little fingers (nail side down on her tongue) almost constantly as the sucking and swallowing seemed to help her keep the stomach acid down - it seemed to be the only way she could relax/get to sleep. We also kept her in babygros day and night until she was nearly 5 months as anything with a waistband seemed to aggravate the reflux and the usual thing of elevating her mattress in her Moses basket. Good luck, whatever you try and if breast feeding was making anything harder when you clearly need some rest don't think twice about having given it up.