A lot of skaters do machine strength training - e.g., leg presses on a gym machine - to make jumps better. They also do deep knee bends (with 1 leg or two, depending on how strong you are). So maybe those make sense for you. For me personally, I find such strength training helps a lot even when I'm healthy.
But I'm not medically trained, and have no idea how safe it is to do them with an injury. A lot of "real athletes" train with injuries, but I generally prefer to wait until I'm healed. Plus, once I started practicing falls, I generally don't get hurt except for minor bruises, except when I've tried to do something really stupid, because I had somehow convinced myself that I couldn't be hurt if I knew how to fall. Of course, everyone heals a little differently, on a little different schedule.
One stupid thing I tried was roller blading on a hill. I was headed fast towards a curb, and fell trying to avoid it. I panicked on the way down (I assumed ice falls wouldn't work on asphalt - later experimentation showed that isn't true), and didn't do one of my much practiced falls. I ended up with a nasty bruise to my hip. I iced it for a couple days - not enough. While I was icing it, no black and blue mark occurred. But when I stopped icing it, the mark formed, and it remained painful for weeks - which, as best I understand, might not have occurred had I iced it long enough to begin with.
It may now be too late for you to avoid the long-term bruise, if you haven't already been icing it - the bruise may hang around for a while, because books say that puts you into a much slower healing mode. But if I were you, I would keep icing it for 4 days from the original injury anyway. Then the books vary, and apparently individual athletes vary, what works best after that. Some say alternate warm and cool baths (hot tubs sure feel nice), some say other things.
Incidentally, lots of books say that if you are young enough to still be growing, a bone bruise can be a major deal, because your bones might not grow right. Hope that isn't true for you! If it is, I'd be very cautious.
But it seems to me that your doctor (or a sports PT) should be the one to listen to. Even if he isn't trained in sports medicine (which would be ideal), he spent a lot of years in training, learning how to help people heal. When the rest of us look books, we don't have the context to fully understand what we read.