Sorry to hear about your challenge. My son is disabled, and I've found there is always ways around everyday nuisances, though sometimes it takes a long time to find that way.
I don't know your exact circumstances, so I'll just make some assumptions, and see if I can find something that might help.
If you can manage the 16 pounds that 2 gallons of water weighs, you should be able to handle the bit of grain such a batch would use for extract + grains, maybe?
I can't speak from experience, but I would assume extract-only would make beer, but would just be "meh", and severely limit your recipe possibilities. Extract with steeped grains, however, will make very good beer, and allows you much greater flexibility in both style, and recipe choice. I have tasted some excellent beers made this way. Most, if not all, homebrew retailers sell kits that utilize extract and grains. I'm sure there are brewers with extract experience that can answer any questions you may have.
One thing I am certain of, is that there is a brewer in your area that would be willing to provide you with any physical help you need to brew. Good people here.