If DeAndre re-signs (it's a likely chance), the roster will basically stay as is.
No pick this draft.
CP3, DeAndre & Blake = $60.3mil, make it an even $60mil.
Hawes (who you can't trade, no one will take him) is $5.5mil
So you have $1.6mil in cap space. All eaten up by stretching Farmar, Delfino & Raduljica ($1.4mil)
Crawford & Barnes are non-guaranteed to the tune of $2.5mil, but cutting them loose serves no benefit. So that's $9.2mil
CP3, Blake & DeAndre
Crawford, Barnes & Hawes
Farmar, Delfino & Radujica (no longer on the roster)
= $76mil (probably a couple $100K more)
Add in JJ Redick, who you could trade, but it would be the same thing as cutting Crawford or Barnes, you'll need to replace them, and fill a hole elsewhere, and it isn't necessarily worth it when your depth issues are all over, and lack of resources to replace them.
76 + 7 = $83mil
The luxury tax is supposed to be $85.1mil, which if you cross that, you cannot use the $5.7mil Mid-Level Exception (if you do use it, you are hard capped as well for that season).
It leaves the Clippers with about $3.376mil with the mid-level exception to spend and league minimums.