The solar panel with battery is now being built and sold by several people around the country:
SOLN1 V3 Units Now for Sale – Smart All-in-One Portable Solar Solution | Laser Hacker Alternative Energy
SOLN1 | SOLN1 - Portable AC Solar Power Unit
This is a really cool thing, I think. They are not cheap at $400 (or $499 from the builder in Tennessee) but they would be worth it.
SolNbox Personal Solar Emergency Generators
The Model 300 listed here:
SolNbox Products would probably work with your own panels.