PUGs been always "ridiculous"
Solutions have always been:
1. Make your own and then take the "correct" ilvl 14/14 "cleared with main" idiots afking to your pug and progress for 8 hours with them, if thats your thing. Many people dont even try to play their alts properly. So getting over the top ilvls insures your success, there WILL be lazy bitches you have to carry.
2. Join a proper big raiding guild with nice progress that run altruns. You most def get into them if your not bad.
3. Ive always managed to get myself into pugs even without the high ilvl or achievs. Its just couple sentences you have to say. Not the "inv plz". But then again if youre low ilvl you gotta know your shit even better.