Welcome to Healing Well! You are definitely in the right place! (And you're among many other dog-lovers!) I am so glad that you got a second opinion on your condition! Do you have a good GI doc?
I hate to say it, but from my experience, if you have reflux that bad, it's unlikely that natural methods are going to work. You can try them, but it's likely that your LES is pretty wide open. I've been to lots of docs (including an ENT who scoped me),and they have pretty good handle on whose reflux is severe. You can be sure that your ENT has seen lots of severe reflux, and if he thinks yours is the worst ever, you have to act pretty aggressively to get relief.
If you don't have a great GI doc, it would be a good time to get one. It would provide you with more information about your options.
Best wishes for a great outcome!
Again, welcome to the GERD forum!