You will have to have a 220v welder to weld 5/16" or thicker if you plan on welding it in a single pass. Most 110v welders simply do not have the capability to use .035" wire effectively. Most struggle to get enough amperage to the weld, and you'll have a hard time keeping from getting cold laps. If you use flux core wire, especially self shielding, the difference will be even more noticeable. Flux core wire welds in a more rounded puddle, so it does not penetrate quite as much as solid wire, anyway.
Most 220v welders will go up to 3/8", but it takes one of the larger units to go up to 1/2" in a single pass.
If there isn't any wind outside, you can weld with gas. If not, you will have to use self shielded flux core wire.
I do a lot of welding with my HH 187. It has a crisp arc, and if you can't make a decent weld with it, welding isn't going to be your thing. It won't handle some repairs on farm implements or dozers, so I have to use a Bobcat for that.