Well I have rigged two TTs in similar size with a 2000 Watt Renogy. Now of course any inverter is as good as your battery types and amount. If you battery or batteries is mounted on the hitch, you should be mindful of the amount of added weight if you go with multiple batteries. Lithium has its own restrictions when charging in cooler weather.
But they are getting better. So you will need to consider your mounting location. There are some thats called mini sizes for the 100ah range. One option is going with one single 200ah battery for around 500 bucks.
But getting back to your setup with a 2000 watt pure sine wave inverter, of course you cannot run everything at the same time. And exempt from a color of the wires, I rigged my entire camper to run off the inverter without dealing with the work and limited access to the power panel by wiring a remote range plug in in my cargo locker from the available location on the inverter with number 10 wire. Now the inverter does have an on and off switch, which you also have a remote to turn the inverter on too. You cannot leave the inverter on all the time. This will drain your batteries down, unless you have super amount of solar and batteries. But when I use the coffee pot and microwave, I just hit the on-off switch and turn the camper on 110 volt.
This way all I do is to run my main camper cable from the camper hook up to the plug in , which lightens up the entire 1110 volt system. Then I can take your choice in what you wish to run off of this setup. I run the cord up thru an additional door with its own slide cover over the slot when not in use to keep the bugs or water out of it. This is mounted on the outside area of the frame, and goes directly up to the mounted female plug similar to the one on the boxes at the campsites.
I still have the option to run an extension cord from the two available plugs on the inverter if I don't want to go outside and hook up this set up to my coffee pot or microwave.
I only have two group 24 wet cell deep cycle batteries at this point on my current camper. I did have two group 27 AGM batteries on my last one, that still gave me 200ah of power rigged to my solar too. I just raised one up on the hitch and turned it sideways and fastened the box down thru the cross frames holding the batteries .
Thanks for telling me about your set-up. I used an inverter in my little pop-up camper. Mounted it, hooked it to my 2 LA batteries and knew if I wasn't using it, to turn it off.
What you have is exactly where my thought started. -Install a receptacle, like a home generator, which is connected to the battery banks via inverter.
As I'm sitting here I ask myself 'WHY?" -why am I considering any of this? B/C 100% of the reason I moved up to my TT is to ensure my daughter w/ special needs has the power she needs, no matter if we have electric hook-ups or not...b/c we all know how tough it can be to score a space w/ hookups at certain times of the year.
Now I say I'm asking myself this b/c I own the behemoth ECOFLOW Delta Pro 3600wh electric generator, complete w/ 30 amp receptacle. I can actually run my rooftop AC with this thing for about 5 hours. WHY you ask, would I need any more batteries or inverters since I have a giant portable battery bank with TONS of inverted AC outlets? B/c this monster is 100lb. Once I get it into the back of my truck, that is where it would need to stay. I cannot lift it out of that truck. I'd need to ensure I had enough cord to reach the camper AC receptacle, then I'd be doing great. My truck has a bed cover, so it would be safe from the elements.
I've had my camper a few weeks. I ran the camper plugged into this electric generator and it did really well. That said, where it is allowed, I could also throw the little 2000 watt generator I have into the truck bed and use THAT a couple hours a day, to recharge my electric generator, if the solar isn't topping it off fast enough.
I bought the generator for my restaurant, so if we lose power I can plug in the refrigeration overnight and still have the restaurant door securely locked, as a gas generator would need to be outside. This generator is safe to park right inside the kitchen with no worries. Bring it home during the day to charge or use my gas generator to recharge it during the day hours at the restaurant.
Anyway...so many options. I just love these type projects. I like working out problems, finding solutions and learning, too.