Well written mate, good read that. I don't know what your terrain is like, my fear with greyhounds is fences, what is she like with them?
when first had her she wouldnt try to jump i kept her on lead and kept going over a low fence backwards and forwards over and over again gradually increasing the height she can jump when she has to but if can find another way she will.as for fences when shes running she has had a couple of knocks but she is learning i have took her digging a fair few times and she as surprised us learning quickly as where to grab things a character and demeaner are great