I'd still go for the Nissen, maybe ask about
a partial wrap. The alternatives don't have such a good record for success. If the wrap is a bit loose, floppy, you may still be able to burp. A lot of us can! If your surgeon is VERY experienced - thousands and a good record - I'd listen to the expert.
I lost NO weight with my op. I just ate a little every hour or two, whatever I could tolerate.
My surgeons do a lot of revisions of the alternative ops that fail.