You don't necessarily need an inverter to have a TV. There are ones (even ones not intended for RVs) which will run on 12V. They typically use much less power - you don't have to deal with the inefficiencies of converting 12V to 120, then back to low voltage DC. Check the stores for ones with power bricks. They tend to be the smaller models. I've got an older Insignia (Best Buy house brand) 19" one which only uses about 1.5A@12V.
They seem a bit overpriced to me, but 12V TVs are
available here, among other places.
Here's a 22" at a reasonable price.
How long do your 2x12V batteries last you when boondocking? If more than a couple of days, and you camp where there's reasonable sunlight, a 100-200W system should serve you well. Your usage sounds similar to ours, we have only a single group 24 battery (currently), 200W of panels, and are always in absorption charging by noon unless we're catching up for a rainy day or extraordinary usage. I did change out all the lighting to LED. If you're handy and can do the work yourself, a 200W system with quality components can be done for <$500, and have room to grow. So don't overthink things - a lot of the info on the web is based on when panels were much more expensive than they are now, so what made sense then is a false economy today.
