Jz1, I wish you much luck, when I moved to Delaware (many years ago), I also had my PA CCW (obtained in 1985) and found the DE process difficult and very, very time intensive (not even to speak of the money involved).
The process has become somewhat easier over the years (from my understanding), but if I remember the paperwork correctly, the DE references need to have known you at least a year (and be happy that you no longer need them to be in your voting district AND registered voters, and then have them checked and confirmed).
All I can tell you is good luck and do NOT let the process get you down, as that is the true purpose of it (the process), to get you to not complete it.