Yellow slips are your best bet for on call days. The obviously get processed before the green slips. I'll find a few trips in open time that I like and list them as my first preference. I will then do a second preference just covering the days I want to be called first. You can restrict that second preference by a bunch of variables (min credit, call out, etc).
Definitely put in for green slips on your off day. Remember, reserve green slips are paid on top of the guaranteed credit. So, you really cash in on reserve flying a green slip.
I've had relative success doing this, I usually always fly something I wanted and have only sat short call 2 times in 6 months. I'm a 717B/ATL so there is a lot of flying to be had. Good luck.