http://www.bhphotovideo.com/c/product/586421-REG/Litepanels_RM_F_RM_F_Ringlite_Mini_System.html
This is a battery powered 5600k led ring light... this hits all your specs if price/rental availability isn't an issue. But I agree with above, a 2k gennie with a joker 400/800 will certainly get what you want in the par configuration... more light is almost always better than less, in my experience.
I used this doing something similar but had the ring light on camera, 2x400w UV blacklights, 2xfogmachines , 1x2000w putt putt mounted on a golf cart... we were shooting a 5k race at night with glow in the dark paint in slow motion with the red epic at 240fps close to wide open on a bunch of Canon L primes. It worked out okay, but as previously suggested in this threat, a joker bug 400/800 would have been a better option (electric ballast). Night + Super Slow Mo + Golf Cart + blacklights = nightmare. Anyway, good luck!