Honestly, every time you show a new video of Peyton, I see more and more that she isn't near as bad as you say she is. That reaction is very trainable.
Never let her visit another dog on a walk until she gives attention to you. Use LAT, and click/treat her for giving you focus. Your dog park video shows she can have focus on you with dogs around - before you made it sound like she ignored you entirely around other dogs, all the time. If it's only part of the time, then you're better set up for training a calm reaction than Finn and I were at the beginning.
I hear a lot of "never" and "impossible" from you, and judging by your videos Peyton is an easy case compared to a lot of dogs on this forum.
Finnegan - Border Collie | Porom & Barrett - Ferrets | Stan & Fiora - other half's cats
RIP - Fozzy 1993-2006 Palom 2008-2010 Ysera 2008-2011 Basol 2008-2012 Freya 2008-2014