I have 2 kids both of whom has severe reflux when they were babies so I feel your pain!! The wedges are good but I think would work better for older babies. Here is what worked for us:
First baby slept in a bouncy seat. It worked well as it kept him upright but also "cocooned" in, which newborns really need (crib is big and wide open feel for them and will cause them to wake up). He slept in that until he was about 4 months old and we were able to transition him to his crib.
Second baby was also in the bouncy seat but we also used a swing for her (the one that moves side-to-side). Her reflux was more severe than my son's and the motion really seemed to help her. I see that FP now has a "papazan" version of their swing....I would have given my right arm for that when we were dealing with our daughter's reflux problems!!!
Here reflux continued much longer so after she grew out of the bouncy seat we put her in a stroller to sleep (no one suggested the wedge or I would have done that!), she was secure, upright, and we pushed it around to help her get back to sleep. (she did make it to the crib finally!)
finally, my 2-cents on meds...zantac worked for my son but did not help my daughter. She was put on prilosec, we had problems at first because the dose is based on weight and babies grow so quickly at this age (2 months at the time). She was not getting the right dose. We got a referral to a pediatric GI doc who assessed the situation right away and once she was on the appropriate dose she was a different baby.
So, sometimes you need to push your pediatrician to go to the next step (don't let them say "babies are always fussy at the end of the day") relfux babies are fussy ALL the time and it takes some back and forth to get the right regimen that will work.
Hopefully the zantac will do the trick, hang in there!