micromobility - Bikes, scooters, boards: Whatever floats your goat, this is micromobility

Sidecars aren't great, they are tricky and have a high learning curve. Cargo bikes or trikes might be better, or an e-pedi cab with throttle, however these options will either fall short of your range requirements or require extra batteries (swapped in or wired in) and more likely than not would require you to be able to rest your feet on the pedals so that might not be ideal for your situation.

I'd recommend maybe taking a look at ICE scooters/mopeds to get the range you're after for less money or maybe mini-vehicles (Smartcar, Kei trucks, etc.). There are EV offerings out there that could work too, but they'll be pricier.

I'm going to go ahead an pin your comment to help get more responses, hope you can find something that works well for you and let us know how it goes!

Electric motorcycles don't have transmissions because they don't need them. Same as electric cars. Your cargo and range requirements are going to be a tall order for an electric moto, but not impossible — just, not cheap.

Guys, is this it? Do we suggest OP should buy a Harley Davidson Livewire? I think so! Sidecars for motorcycles are pretty much always custom or at least semicustom, and a competent motorcycle shop should be able to either find and fit one for you, or point you in the direction of a custom shop which can.

Note also that out of the box the Livewire and most/all "traditionally" laid out motorcycles including electric ones will require the use of your right foot because that's where the rear brake is located. Relocating that brake to the left handlebar (the front brake is traditionally on the right handlebar end) is probably not impossible, and is a fairly common mod for oldschool motorcycles for people who are down a leg.

Oh, and these things will also require getting a motorcycle license.

If you can't stand being a Harley dude, various Energica and even — if you can hold your nose — Zero motorcycles would work. (Zero tried to float some pay-to-unlock and subscription bullshit a while back, and because of that they're on my ban list. Up to you if you want to try trusting them. I wouldn't.)

I support your goal of finding a not-car for you needs, and the other commenter discussed more about the electric motorcycle + sidecar idea.

That said, regarding operating a car without foot controls, my understanding is that there are add-ons which convert the typical foot controls (accelerator and brake) into hand levers. A random example. These range from mechanical linkages to the existing pedals, but could also be more complex or bespoke for a given car. That said, I have to imagine there's a learning curve to using these controls, so it wouldn't be dissimilar to learning how to ride a motorcycle.

I'm very pro-micromobility but also recognize that when nothing else in the toolbox fulfills the need, then it's alright to use a car. I just wanted to make sure that option wasn't overlooked.

Honestly, a Chevy Spark EV might be a good buy. Range is a little low but the level 3 takes less than 10 minutes for almost a full charge, and I've seen them go for less than 5 grand Canadian. Plus it's a fun little go cart, and I suspect you can put hand controls in with not too much difficulty if needed.

Edit: sorry I'm a fucking idiot I didn't read the first part well enough and didn't catch you were looking for anything not a car.

My dads missing his right leg for 40ish years, early on it was automatics, then a bunch of converted cars with hand controls (single push/pull lever for brakes+gas), now a days he pops it out of gear without the clutch and brakes with his left leg. It should be quite easy to convert an automatic to hand controls.

This'll cheer you up, coupla months after learning to walk again, he immediatly got back on a bike, went hillclimb racing, and there were his parents spectating on the bank of the first corner, he nearly crashed again.

I know, I know, no legs. But i wanted to mention foot straps, just in case you hadn't considered them.

One of my friends has a serious leg injury and a bunch of titanium pins and screws and bars. He uses a Velcro strap to keep his 'bad' leg locked into the pedal instead of clips/clipless pedals. It's a lot easier to get in and out of if there's an emergency.

Certainly won't get you on the freeway though...