Short answer, you won't pick up TPD patrol off of Mt Bigelow repeater. I would only put in Bigelow if I wanted to hear Mt Lemmon FD, SO East-1, and a few other TG's. A lot of TG's are blocked from using this site, due to only three frequencies in use, one taken up by the control channel.
As Dan said, be sure Simulcast A and B are in the radio. If you use those sites, you will hear your sister, albeit sometimes garbled due to the simulcast issues. If I were you, these would be the only ones in the radio, if you are listening from Rita Ranch area and not moving about. If you are mobile, you may, but don't need to necessarily add the other sites.
The Keystone repeater, will give pretty good reception, but not always complete traffic, due to priorities being SO, county fire, and Pascua Yaqui.
Haystack is possible, depending upon your signal strength, but again, mostly SO and county fire.