Ugh.... as I have said before; boogers are my downfall. I literally gag while wiping noses, and right now, just thinking about it, my gag reflex is kicking in!!! **blechhhh!!!**
But, some kids really are more goober-y than others, and aside from "asking" them to go to the doc, which you did, I don't know that there is much else. Just keep an eye out for any other symptoms or issues, I guess?
If he snores really badly, it's entirely possible that his adenoids are too large, which may account for the snot (because it can't "drain" properly down the throat, so it comes out the front). My son just had his out in Sept, and he snored from the time he was a little baby.