Mark wrote:

The 1000 VA Inverter should be capable of running both motors,
assuming both don't start together. Try it and find out.



1000VA from a 12 Volt inverter means about 100Amps at 12 Volts. That
takes a lot of battery to run that for more than a few minutes. You
would do better with a small generator instead of a big inverter.

Mark


I think this is the core of the issue. Even if it takes less, like
750W to run the system, a couple of deep cycle batteries aren't going
to be able to run it long enough for it to be practical. You would
need more batteries and they have a limited life, even if not used. By
the time you figure out what it costs for the inverter and batteries,
etc a small generator is the better solution.