I'd go with a panasonic inverter microwave. Why?? well, rather than cycling between 0% power and 100% power on any of the low power settings, it varies the magnetron output. So, if hooked to a generator your not constantly causing the generator to see a widely varying load. In eco mode, the genny won't be going between idle and high rpm. Next, they also cook better on low power than cycling units. And finally, you CAN run these microwaves on power level 5 or so with a 1000W sine wave inverter and a pair of 6V batteries if you want to. Other microwaves, even the lower output ones, will neeed close to a 2000W inverter and a bigger battery bank. You can pick up a nice one that is the size of the typical small microwave in most trailer for about $125. It works great for us in the above situations.
Now normally when dry camping, coffee/tea is from the stovetop, most cooking using stove, oven or grill, but using the microwave at a lunch stop or a quick rewarm for something is nice to have.