If Miami trades Beasley, it will be for additional cap space (plus draft picks), since they're on the cusp of being able to offer three max contracts. Therefore, they'd move him to either a team under the cap, or to a team that can send back non-guaranteed deals. Neither scenario fits with the Celts.
I don't think thats a given. I think there is a good chance that they will go after two max guys, and then use the rest of the cap space to fill in the roster with good players, rather than vet minimum guys. I also think in this scenario, they could be interested in moving Beasley for a player who fills a need.
For example, if they resign Wade, and sign Amare to play PF, that is approximately $34 million. Plus $1 million for Chalmers. Then go after say, Mike Miller $6 million, and Raymond Felton $7 million. Then they could look to move Beasley for a defensive minded Center (like, say, Perk, who makes just about the same as Beasley).
So, I can certainly see a scenario where the C's would matchup well with the heat for a trade of Beasley for Perk. Although after this series, I don't know if either team would want a part of it. Perk was a blackhole on offense, and Beasley looked completely useless. But I do think the fit makes some sense.