Nice swing you posted. In your circumstances, that is (a) having come through quite a bit of recent instruction; (b) now hitting it solid; and (c) injuries - I think I'd be real careful about this. I'm sure you will be.
My priority would be to get healthy and to really ingrain Brian and Michael's teaching. Doing those 2, which might be a few months work anyway, might also see your speed pick up.
My understanding is that in other sports, where the action is much, much simpler than the golf swing but there is still a premium on speed (I'm thinking cycling or running as an example) - there seems to be an acceptance that speed of movement is something that comes as much as a result of high repetitions and improved neuromuscular co-ordination as increased strength or power or effort. In other words, speed is a skill issue as much as a physical attribute, and as such requires practice.
One thing that I really rate as a practice aid is a swingspeed radar. It'll give you feedback on what sort of speed you're actually achieving - independent of the ballflight or yardage that you see. I think though that the real benefit of the feedback isn't that you try to max yourself out, it's that you learn to calibrate your effort. You can learn what speed is possible with a faster or slower tempo, and you can also work on increasing your swingspeed just a little whilst hopefully keeping your ball under control.
For what it's worth, my experience of practicing this way has been that very little of the usual advice for building clubhead speed has any real effect. Bigger turn, more coil, restricted hip turn, aggressive weight shift, width of arc, holding the lag angle - none of these seemed to have any tangible impact on my swing speed. What did seem to yield results for me was simply a faster overall tempo, starting with the takeaway and maintained through the transition. I felt like the increase in speed was initiated primarily by my arms. Somewhat bizarrely, I also got a jump in SS by keeping weight left on the backswing and my head centered. I never understood why though, nor did I get very comfortable with the action or the resulting ballflight, and I didn't explore that avenue any further.
) I would recommend,at least at first, finding a quality personal trainer to learn to do the exercises correctly. Second, it is a lot of work, so it's something you really need to commit to.