The way I see it, we actually might get a good deal on Hickson because he happens to be coming due while there is a bunch of bigs and other more attractive free agents.
We don't know exactly how mant teams will have significant room under the cap to make 8+/year offers right now it looks like there will be 5-10 teams.
link to article about teams and their cap space
Jazz-will have money, and will likely spend money on Millsap, and with two other young bigs, they won't be in the market
Wizards- will have money but not likely suitors because they want to keep flexability and low salaries.
Cavs- will have tons of money and will be willing spenders, but do they want Hickson when they have Triston Thompson? Doubt it.
Hawks- they could certainly be players, but I expect them to try and get the best they can, perhaps even Howard. Of course, this also depends on if they are able to keep Smith
Bobcats- it's possible, I never can tell what they will do, but they should have between modest and a lot of money to spend
Pistons- they will have money and will be spending it.
A whole bunch of other teams can have decent money depending on what they do with their current players. Too many moving parts.
But, here are some of the bigs on the market this summer
Josh Smith
David West
Paul Millsap
JJ Hickson
Andray Blatche
Dwight Howard
Andrew Bynum
Al Jefferson
And on top of that, this draft is all about big men. So, I think the top bigs like DW will be expensive, and guards might be expensive, but decent bigs, like Hickson, may have a hard time getting high offers.