Hopefully, people with more expertise than I have in pulling through will chime in and help you with that. Pulling through is a fine way to shoot; no doubt it is recommended by more people than recommend a static release.
However, I noticed your comments about anchoring and stopping, which is commonly referred to as a static, or dead release. That is also a fine way to shoot, although not recommended by as many people as recommend a dynamic, or pull through release. If you're shooting low every time you shoot with a static release, at least you're being consistent! It is very easy to lose back tension with a static release, which is one reason people tend to recommend a dynamic release. However, if you shoot better with a static release, which many people do, you just have to learn to overcome that. Take a close-up video of your face and anchor as you are shooting. Notice whether your string hand makes any forward movement just before release. If it does, then you're creeping, and need to work on maintaining back tension until you release the shot. Another thing you might be doing to cause low misses is not following through (dropping your bow arm too soon). Both of these things can occur with a dynamic release too, but probably are more common with a static release.