This is a sitauation best handled by the use of small strobe lights. They are reasonably portable and the power is from simple batteries.
Barring that give some thought to changing your bulbs to auto headlight bulbs. I have no idea what the drain might be but it would be interesting to find out. A simple car battery would be your power source and it of course is rechargable for years.
Either of those would be relatively inexpensive. If I had the ambition i would experiment with auto headlights as a studio light set now that I think of it.