You asked about any others. I have this one, which has been working great. You can get the remote on/off for it as an option. Spec no-load is 1.5 amps or less, if you leave it on.
I have not measured for that, since my "whole house" set-up means when it is on, there is always some small load, like the microwave panel lights, and a phone charger or two. Even your camper's GFCI receptacle has a small draw.
At least one other member here has the same inverter and is happy with it last I heard.
https://www.amazon.com/PowerMax-PMX-2000-Pure-Sine-Inverter/dp/B07DQTW1SW/ref=sr_1_3?ie=UTF8&qid=1549559913&sr=8-3&keywords=PowerMax+inverterGenerally, you can only get away with two batteries for this work if the batts are near full at the time. If they are below 75% SOC, you will likely hit the inverter's (any brand) low voltage stop.
With the truck camper we had, and a 2000w inverter, I put two batteries in the front of the truck bed wheel well and then slid the camper in. Before it was all the way in, I hooked up the wiring to the two batteries in the camper, so that made four batteries in the bank.
Some solar is always good to add to that for when there is some sunshine. if there is, you don't have to worry about small draws like inverter no-loads. You can just turn the inverter on and leave it on till you next get shore power.