Teething tablets and a lactose intolerant baby?

My 3 month old, lactose intolerant son is in the process of cutting his first two teeth and is so uncomfortable. I have been using cold teethers (a bit hard to use since he cannot hold them on his own-I just do that for him) and giving him baby Tylenol drops each night so he can sleep pain free (without them he wakes himself hourly crying hysterically). I have come across so many mothers that swear by teething tablets, so I thought I would try them out. When I looked over the ingredients I noticed lactose as the main inactive ingredient. I didn't dare buy them for fear I would have to go through the screaming, flailing gas fits he had before we knew he was lactose intolerant (I'm feeding, so all lactose was cut from my diet). He is chewing a bit on my and crying from the discomfort after just a few minutes of nursing. I really want to do all I can to get him through this with as little pain (for him) as possible. Have any lactose intolerant baby mother's used these tablets with success and no terrible gas/diarrhea ?