I do this pretty often; but the caveat is that it's probably best to use a dynamic like an SM7 or an RE20.
If you look at the response pattern of the mic you're using, you can see where the most rejection is.
I don't usually worry about monitor bleed if I'm doing this kind of thing.
If you put two of the same mic up so that one picks up the monitor reflections + vocals and the other one hears the monitor reflections virtually the same way but without vocals, you can flip the polarity of the non-vocal mic and get rid of a lot of the monitor stuff.
I sometimes have a bit of my own vocals in the monitors, sometimes not. No probls with feedback if you watch the levels. Just don't forget to mute the signal in the monitors if you put a condenser up or BWEEEEEEEEEEEEEE!!!!
(I have a one-room setup, so I'm always in the room with the monitors)
I think Sheryl Crow tracks in the control room, and maybe Chris Cornell.
I'm sure others do, but I can't remember off the top of my head.