In my experience docs do like to try alternatives for a week or two, or even longer, but if you really feel it's the reflux then maybe suggest you have a trial for a month to see if it helps?
FWIW solids don't always help, some are worse on solids. I think solids went down easier than milk for my DS but he still stayed on his meds until he was 2yo and has been back on them a few times since, he's 5 now and still have flare ups from time to time. I can see he doesn't need permanent meds any more but we can also see when he gets the reflux symptoms, the bad night sleep, hiccups, excessive swallowing, hear the refluxing although there is no spit up, etc, and he is almost instantly helped by the meds so it seems very clear to me. It is harder with a little baby I think as we have to guess so much.