Hi Dave,
Just so you are sure the GXV160 is push mower bolt pattern, ride on is the Briggs pattern. I had a squiz through the vertical shaft motors available at the moment and the prices have jumped up about $200 since before the pandemic started, supply from China has obviously dried up so up go the prices. Pretty sure the Intek is too big. You might find a motor on gumtree but you will always find it on the other side of the country. As for rebuilding a Briggs, I'm not a big fan of that idea, people do it but to me Briggs are designed to go so far and after that too many things can go wrong