It might be helpful to start from scratch getting the rest and nocking point location right. Rest and nocking point need to be psoitioned so that with the arrow nocked about 90 degrees to the string the rest is mounted so the arrow approximately centers on the Berger holes. That's item #1. Then the draw length needs to be fairly close for the shooter; plus or minus a half inch or so should be close enough. Then draw and anchor, find a position where you can see through the peep and go from there.
Try shooting the bow and see where your arrow hits. If your arrows are so low that you run out of pin adjustment then you'll have no choice but to lower your anchor and adjust the peep and kisser height accordingly. Understand that the shorter the a2a on the bow and the longer the draw length the higher the peep will need to be. This is not a problem with the bow, but one of choosing the wrong type of bow to begin with. Short bows and long draw lengths do not always go hand in hand well. Especially if you choose to anchor with your nose on the string. Sometimes it just won't work that way.
Not knowing what bows you've had in the past (maybe longer a2a) you can't take for granted that the peep height will remain the same for every bow. You may have to make adjustments in your shooting form. Moving the peep isn't that hard and 1/2" can make a world of difference in elevation.
If at all possible it would be nice if you could post some pictures (head to toe) standing at full draw (shooting level) so we can make a more accurate assessment and/or suggestions on how to correct this situation.
Hope I haven't left too much out.