To the original question, is there a UConn player in the top 3 at each position - the answer is "maybe". You all have identified the primary candidates. But you always have that "different eras" thing. Lieberman, Staley, Bird? or someone else? Leslie, maybe Griner, Charles? or Donovan?. A very few great players from pre-NCAA days that none of us have ever seen, of course.
I think a "fair" place to start if one was so minded would be to look at who has been inducted into the Naismith and WBB Halls of Fame, and compare them to the UConn players who are still playing (as well as others still active). I don't have the desire to do it, but that would be one approach. Of course, the problem, as always, is still to identify what defines "top 3".