Good bigs from small colleges?
Most of the best bigs right now didn't go to college at all, but I'll give it a shot. Since it's subjective what qualifies as a small college, I'll list a few.
How about Cuyahoga Community College + Div II Virginia Union (Ben Wallace)?
Southwest Texas State (Jeff Foster)?
Central Michigan (Kaman)?
Georgia Tech (Bosh)?
Louisiana Tech (Millsap)?
EDIT: On looking back over it, I see you said that they had to be picked in the lottery. Most aren't, of course, small college players rarely get that sort of hype, so like our own Brad (Purdue), they get crappy draft position. But what difference should that make? To me, that just shows that a lot of managers have been lousy at finding talent in backwater schools. It's not a persuasive argument that we shouldn't even consider a big from a little school. Unless you'd consider that going in the lottery put some sort of curse on them, or something... ?