I have a Honda EU2000i and a EU1000i that I use with my Dyna-lite 2000 & 1000 ws packs. The EU1000i generator will only run 1 - 1000 pack. I've run at least 1 - 2000ws pack at full power off of my EU2000i generator plus a few other smaller accessories at the same time. If I recall correctly, I think I even ran 2 - 2000ws packs at full power, but I'd have to retest that to make sure that was the case.
I haven't used it with your specific pack but I bet it would work. I don't use the economy mode (ecothrottle) when using the power packs. I usually let it run at it's high rpm setting. You can even get an adapter to connect 2 - EU2000i generators together and get 4000watts of power (30 amps). I like the EU2000i because they are relatively light weight (46 lbs without fuel) and quiet to run. The EU3000i weighs 135 lbs without fuel. That is less fun to load and move around than my EU2000i.
I paid about $1000 for mine at Camping World (as a member, I think memberships are $29).
Anyway, you won't go wrong with the Honda generators. For battery flash units, I like my ProFoto 7B, but the max power is 1200ws (you get about 200 full power flashes from a fully charged battery).
Hope that helps,
Ken
