The engine you listed has electric start, and recoil start. Should work, I suspect it has the same footprint as the engine I listed for you. I had a customer a few years ago with the 8 HP engine on his snapper, and wanted a new engine because the old engine was acting up, and sometimes would just quit. So I went engine shopping, and found that at the time a 13 HP engine was $10 less than the 8 HP engine. So I proceeded to shoe horn a 13 HP engine in place of the old 8. Had to make a few mods to clear some of the snapper frame conponents, but overall wasn't bad.
I suspect you would have to remove the fuel tank from the engine that I listed to get it to fit on your snapper, so no fuel tank is not an issue.