Have you looked at the Audew 500wh unit? I'm curious about it myself as it lists a higher max amp rating for solar charging:
Output: - AC: 110V,max 250W, *2
- DC:12V/10A, * 1
- Car:12V/10A, * 1
- USB: 5V/2A ,*4
Input: - AC: 110-240V
- Car: 12-24V
- Solar: 10A(Max)/14-40V
-Wall outlet:110V-120V