I like Giannini and respect him as a coach. But he is not going to get higher offers based on the record he's had at LaSalle so far. 2 winning seasons out of 5 (and the first one was with the players he inherited), will not impress anyone.
As far as facilities- Only now with the improvements made on Bradley's campus this past year are Bradley's facilities anywhere close to LaSalle's. They built the state-of-the-art Hayman Center in 1998 that has athletic facilities that would put what Bradley has had to shame.
And as far as athletic budgets go, everywhere I checked, the numbers are very close between Bradley and LaSalle. Both are non-football schools.
Their recruiting costs may be less, only because so many of their recruits are right in their back yard. And they play in their own arena, so that saves them several hundred thousand dollars a year in facility rental.
I just can't buy your reasoning that somehow Bradley has so many innate advantages that it should be easier for Bradley to win. I think LaSalle has the advantage by being in the A10 and in a large city like Philly.
Note that LaSalle is ranked #212 and Bradley #215 in athletic revenues in D1, and the top sport at both schools is men's basketball.
http://www.bbstate.com/info/schools-revenue
Also, LaSalle plays in the Atlantic 10, and lies in one of the largest media and population markets in the country. Those are huge advantages over Bradley/the MVC/and Peoria. Peoria may have 1 or 2 D1 players per year, while the Philly area has many.