Please email us at techsales@opticsplanet.com so we can further answer your question.
Yes, those models can be found at the following links. They are list in ascending order of height of the monopod:
https://www.opticsplanet.com/accu-shot-standard-height-stud-mount-monopod-with-quick-knob.html
https://www.opticsplanet.com/accu-shot-standard-height-locking-stud-mount-monopod-with-quick-knob.html
https://www.opticsplanet.com/accu-shot-mid-range-locking-with-quick-knob.html
https://www.opticsplanet.com/accu-shot-tall-range-locking-with-quick-knob.html
The height ranges. MPN BT12-QK has an elevation range of 3.75 - 4.65", BT13-QK has 4.75 - 5.65", and BT31-QK 5.56" - 6.60".
Yes, it does. I have 2 of these.
It will work on PRS stock if you have hidden rail beneath bottom of stock. If not (no hidden rail) you will have to mount a rail piece with holes 2 inches on center into the two holes on the bottom of you butt stock.