Sorry, guys. I misread the numbers, and thought it was for welding 2 1/4" tubing.
doh, I hate it when I do that.
If it were me, I would use stick, and that being the stick preferred by the operator.
Lots of things will work.
But, again, if it was me, I would use either 3/32 7018, 6011, or 6010 depending on the final appearance I wanted. Some will give you nice looking welds without grinding. Some will require grinding and polishing.
As for the machine, a Lincoln buzz box will work. A Miller Thunderbolt will run the small rod. Or, get a bigger machine in anticipation of work with larger parameters. For this job, not a lot of need for overkill, but you would want to buy a machine that you could use later for other things.
Steve