Interesting concept that will require more research.
From what I've learned, though, is that the larger 60-cell panels usually offer more power for the system's footprint. Plus, plugging into a 120 volt outlet limits total output to 1.3 kW, unless multiple inverters across multiple circuits are used. Also, to qualify for incentives, the system usually has to be professionally installed, which takes away from their price savings and portability factor when moving (unless the system is made permanently mobile).
Losing the solar production when the grid goes down is a limitation of a battery-less grid-tied system. With batteries and depending on the system, one can still net meter and retain the ability to keep using solar power when the grid goes down. Something like SolarEdge gives you the flexibility to use grid, battery, or both (plus Tesla Powerwall compatibility).
All grid-tied inverters are required to have anti-islanding protection. Basically, if the voltage or frequency becomes too high or too low, the inverter shuts down.
From experimenting with my plug-in inverter, it is possible to trick this feature, though only momentarily and it requires a perfect balance of output power and load. I tested this with a power strip and a fan. The fan uses 11 watts, and at the time of testing, I was outputting 11 watts. I was able to get the fan to run directly for about 2 seconds before the inverter shut down.
