Having researched generators recently for another purpose, I see 3 basic categories -- general purpose (the most common), tech-friendly (not common), and inverter (typically lower power and very expensive). The tech friendly model does NOT use an inverter, but is somehow designed such that THD is low and frequency is well-maintained. I don't know if an inverter-based one would work particularly well -- depends on the quality. And as far as output quality goes, I'd guess the Honda ones would take the prize ... would be interesting to know if the Roadster would charge from one of those. But they're horribly expensive. If I end up getting the tech-friendly generator (probably 6.5-8KW) I may see if the Roadster will charge from it.
I wonder if the inverter models are generating DC and converting to AC or if they're AC-DC-AC ... going to have to read Drees' link -- looks like the stuff I want to know as I select a generator (thanks!)
To rlawson4 -- I've done a couple long-range trips in the Roadster and I think you'll be OK if you charge on a NEMA14-50 @40A for 2+ hours. You'll still need to take it slow and not detour significantly. Weather and other factors can come into play so if you can, the HPC would be helpful in giving you a lot of breathing room plus the ability to drive faster. Personally I'd go for the HPC in your case (depends on your financial situation).