I think the only way the Heat may be able to get into the game is via the devices of the oft injured Mike Miller. Jerk has gone off and gotten himself hurt AGAIN to start the season, and if they decide to just cut their losses and amnesty him they could get back in the race, although I suppose its still no guarantee that they would choose to blow all of their resulting caproom just on Daly.
Waiving Miller will only get Miami right to the cap, if they're lucky. They've got about $4M worth of player options (House, Ilgauskas, James Jones) and I don't know where those stand, but even if all those players declined their options and they amnestied Miller, that would get them down to a bit over $58M - right where the cap will be. They don't have a whole lot of other salary they can dump, even in trade.
Even with Miller gone, it looks like MLE is all they can really offer unless they traded both Haslem and Joel Anthony for nothing, and somehow lose Chalmers' cap hold from his qualifying offer (by letting him sign elsewhere). Then, they could offer about $8M for Dalembert to be literally the fourth player on their team and still have 8 roster spots minimum to fill.
So I'm not worried about how much Miami can offer Dalembert. We can (and should) definitely outspend them. The fear is that Miami is so attractive that the MLE is enough to lure him away.