RJM -- Welding in the field, on the cheap, nothing heavy.
I'd give due consideration to the Lincoln 110 Volt Wirefeeds as well. While I certainly won't dispute the small stick welders' abilities, because I have heard good things about the little Hobarts, keeping flux on the rod, keeping rods dry, and cleaning the application to be welded could prove a problem in the field.
Gas wirefeed is certainly out of the question in the field, windy conditions up there on the hillsides will blow your gas away making it about impossible to weld.
Flux Core wirefeeds will weld most anything up; paint, dirt, rust, (up to a point) doesn't seem to affect them much at all. They just kick out a little more splatter and keep on welding. They do work better on clean material, no doubt, but they do weld well on less than clean material, much better than gas shielded wire. Wire w/gas is a whole different story... It better be clean! Or, it will give you problems.
Duty cycle shouldn't be an issue, I don't forsee you welding anything on a corner post, or gate, in the field, that will get into the Duty Cycle on the welder. I want to say Duty Cycle on my newer Lincoln Wirefeed is 60% at 9 minutes, IIRC. I'm pretty sure I've exceeded that on more than one occasion and never had a problem with it. The older Lincoln here in Florida is better than that.
Not sure what the scoop is on Generators burning welders up, but yes... a generator can burn most anything up, for a number of reasons. Take the book on your generator with you when you ask the electrician about it. He'll need to know what you have for output on the generator... Frequency, Duty Cycle, etc.