I'm assuming your in the UK as you've said GP. I really don't think you'll ever convince your GP of your problems. You'll probably have to go private.
Have you tried talking to people on the Linx site as I know that Justpassingthrough had LPR and had the Linx fitted but it's worth talking to others who have had similar problems.
Yeah, I've looked through almost all the parts of the LINX club, and asked a couple of questions if memory serves. It's all such a mixed bag; some report total relief, some - and this worries me because it's to do with gaseous reflux - say they have no relief at all. I really don't want to be on drugs my whole life, because they just remind me I've got a real disease which causes further stress, so surgery is extremely important to me.
Does the Barium meal show any signs of LES/UES function? Apparently my endoscopy checked my sphincters but I'm not convinced... Meanwhile I'm trying to save up the money to go private, but it's not easy when you've been unemployed for as long as I have - I only have a handful of savings, and I'm not even close to my target.