So sorry for your injury. It is such a bummer not to be able to do what you feel you need to do. If you have been having good luck with your method I say you could stick with it. When you are ready put your cardboard down, cover it with mulch, and cut holes where you put the plant. You will get some weeds, but not as many as using nothing.
Or you could put the cardboard down, use
wood or cement blocks to create a
raised bed. Fill it with organic soil and or
compost, and plant in that.
You could plant in large pots, or 5 gallon buckets with holes in the bottom.
I personally like my hugel beets. It's a ton of work to put it in, but after it's built all I do is add a bit of compost each planting season. I have been slowly replacing my raised beds with hugel beets. To build a hugel beet you dig into the ground a couple of feet, what ever works for you. Then line the bottom with wood, the largest you have, then a layer of soil, then smaller wood like branches, twigs, etc. Then soil, then maybe compost or leave, grass clippings, or wood chips, then soil. It doesn't have to be just like this, it's just layers, getting smaller as you get closer to the top. I like to put finished compost on top. I used cement blocks around two high. It's easy to use, very few weeds, and grows veggies better than anything I have ever tried.
What ever you decide good luck to you, hope you recover soon. Happy growing.