I am so sorry for your husband...I followed the same route as his decision, so I emphasize heavily (and agree). I'm just about there (has taken me 6 months).
I have a 49 inch Bellicon (40 inches to jump on) and a Jumpsport 40 inch frame, but only 24 inches to jump on. The JumpSport was my first purchase, its the one that has the skirt not the pedals and I have the bungees set on the strongest underneath the frame. The jump on the Jumpsport is very nice, the mat has held up after quite a bit of use although the lettering is wearing off. The frame is solid, no movement. It has not corroded or changed over 5 years. I like that its small enough to take out on my deck and jump if I want to. Doesn't take up much room.
In comparison, I just bought a 49 inch Bellicon because I wanted more real estate to jump on. It has made a HUGE difference in being able to do virtually anything on it. That includes core work, stretching and chi-gung. Bellicon also has quite a few workouts on their b360 site, which they offer free for a year (at least they did for me) when I bought it. Plus there are tons and tons of YouTube workouts with the Bellicon, of course you could do that with the Jumpsport too.
The differences... Bellicon: I feel the mat is higher quality, no writing on it either. I can't put the right words together about how the bungees feel while jumping, but its pure love. The frame is also more to my liking and its incredibly stable. The minute I bounced on it, I was so happy I made this decision! There are so many variations on bungee and mat color, it was excruciating to choose. With your husband's injury, choosing the strength of the bungee is going to be trickier. I run on mine and was happier with the x-strong bungee set, yet I am a medium to strong. I was also slow running on it a few months into my own personal rehab. Bellicon offers an immediate replacement after 30 days if you choose two different sets and stick with one. Or you can buy two sets and interspace them, very easy to do.
Bellicon is expensive, but they just lowered their prices, at least when I bought mine, its come down, sort of a downer since it was only 3 weeks after I bought mine. I like that its made in Germany and assembled here in Chicago. They are very responsive on the phone also.
That said, my original Jumpsport is at the entrance of my gym and I jump on it before I enter and when I leave, and I still love it, though the bounce is softer, different.
Both rebounders are whisper quite. One more thing, the Bellicon can be used outside, its weather resistant.