I agree both are designed to do the same thing....obtaining an anchor point. If you are looking through your peep and you have the front sight centered you are about as anchored as your gonna be. At that point you just need to keep your release hand in the same position for every shotand there you go.

Now getting to your problem. Your peepshould be somewhere between 4-5 inches above center arrow. This should allow for enough room to get you sighted in. I would lean towards the problem being with the new peep before the fletchings. If all else fails a sight riser may be needed to moveyour sight up,or buy anew sight. But I think it has to do with the peep position.

good luck, I hope you figure it out.