Vadim;
Sounds like you need a few Zylight F8s. Fresnel that can run off of a standard AB or V mount brick for more than an hour. It will give you the punch of a 1k and you can bounce it into a card to soften it. Full disclosure - I run the company, but it sounds like the perfect light for your scenario. See if it's something that will work for you - www.zylight.com.