shoot the string in first
You have a new string. Dont go hog wild putting the bow in a press and rotating the string just yet- unless you have absolutely no peep to look through right now. IF you can rotate your loop enough to get the peep to where you can see through it. Shoot out that string another 50 shots - even if just at a close bale in the garage. Once the peep is stable, now, put your loop straight and draw the bow back and see which way you need to rotate the string to get the peep in the right place. Sometimes just flipping the peep will work, or sometimes you need to flip the peep 180 and rotate the string. When I say rotate, I mean put the bow in the press, unhook the string where it attatches to the bottom cam, unravel it aroun the top idler or the top cam, depending on what type of system you have, pull it tight, add a half a rotation or a whole rotation depending on how much you want to turn the peep, and then keeping tension on the string wrap it back around the top wheel or cam and then back around the bottom cam and hook it back onto the bottom cam without loosing track of the string position. If you have a bowpress (and I recommend one) you will get to where you can do this quickly and easily. It is very important to come around the top wheel or cam and pull tight and twist. If you dont do that, then I have found, you may be able to get the peep in the proper position, but sooner or later, when the string catches up to itself, the peep may rotate a bunch for seemingly no reason. Well it would be because you didnt do it right to begin with.
I dont think there is anything wrong at all with the brand of peep you have. They are all going to do the same. I think you will be glad you got rid of the rubber tubeing. You can also swap strands to get the peep where you want it, but I dont recommend that as I believe it puts undue stess on the string and it seems that whenever I have done that, my string starts fraying around the peep. Plus if you have a two tone string, it wont look right.