Sounds exactly like my daughter (who is now 9 and eats like a horse!). First, have your baby tested to make sure it's reflux and not something else. If it is indeed reflux, the doctors will be able to work with you on medications; there are more available now than 9 years ago!
A few other things you can try right away:
1) Formula. We went through all the different formulas, finally discovered she couldn't tolerate POWDERED formula. It's supposed to be the same as the ready-to-use, but every time we tried she got horrible gas which couldn't be let out with a burp. Ready-to-use is more expensive, but it's worth a shot. The doctors should also be able to test to see if your baby is lactose intolerant, so you'll know whether you need the soy formula or not.
2) Constipation. Our daughter was horribly constipated, but at the time there was very little in the literature about it. If his poops are coming out like little rocks, you'll need to help him along. Glycerin suppositories (any drug store) or even a thermometer inserted into the rectum can help. We also added prune juice into her formula to help soften things up.
Those two things, along with a Zantac prescription, made a world of difference. She outgrew it in 4-5 months, and is now totally normal. Good luck!