EDIT: also, I wanted to add possibility to limit number of facilities of certain type in a base (and also globally across all bases)... would that be something interesting for you?
Such limit, at least per base, should be controllable with other facilities (eg. 2 Workshops/base for each Power Plant +1 workshop free, or 20 buildings total allowed for each Command Center + 20 free), but even if not, certainly useful!
That reminds me... if you don't want removing wounded soldiers on the training list, how about at least marking in red those who are signed in, but cannot profit from training anymore? (either due to wounds, or reaching facility's caps).
As for the hospital, I'd use the training facility interface. Hospital has capacity, people signed in heal x amount of sick leave each day.
However, this would also probably require unhardcoding the basic healin formula for proper balancing (what I see is formula of number of sick days infliced = (a%....b%)y + (c%...d%)z*e, where y is the amount of hit point lost, and z is percentile amount of health lost (so, setting y to 0, you will have people with high hp heal back as fast as those with low hp).
Also, with cut down recovery times by a factor of 2 or 3, due to hospitals, we can go back to the idea of 'stress from combat'
(but I'll leave this for later time and better place).