OK, So I have awful, screwed up, broken, shoulders. I can do pushups, and I can do squats. Pull ups of any sort are absolutely out of the question. I don't really have anything I can wrap a towel around. Are there any other options?
Time to start getting creative. As a last resort you can loop the towel around a door knob (http://www.youtube.com/watch?v=basCkYP5fPk&noredirect=1). You could lay a broom handle across 2 chairs, lie down underneath and row this way. The angle for both is different than for pullups, but you should still get benefit from them