Wow, I have had these guys since 2011 as my tanks were slowly upgraded and I never thought of them as a problem. Well, I had the little ones since then and the big ones for 2 years.
They aren't super prolific in my tank, which is currently a 90g. I have them here and there. I really only notice the slime if I kick up a lot of detritus. I got the big ones from a pink milli I inherited from a friend. The first one I noticed is still alive in the middle of the colony and the milli is happy to grow all the way up its tube.
I don't dust the rocks or sand (with a turkey baster) in this tank and I feed once per day, 5-6 days a week. I only feed the 5 small fish and not the corals. The tank is packed with coral - I have to scrape montis and leptoseris off the front glass. I'm not really sure if the vermetid snails are that bad if they are in check. What keeps them in check in my tank, who knows. I try to keep a balanced, aged ecosystem with good hitchikers so maybe that's part of it. I have noticed 2 big ones on corals (like, right in the middle of a Stylocoeniella frag but it's happy) and maybe 5 on the front/side glass. I'm sure more are around. I don't have bumblebee snails, but I do have:
Nassarius
Stomatella
Mexican turbos
Zebra turbos
Trochus
Money cowries
Astrea
Chitons
Babylonia snails
Not many of each except the chitons, nassarius, and stomatella which are all breeding. I don't buy snails often because I don't get algae on my rocks or sand. I never see a babylonia on a rock though so I don't think they're responsible.