The trade I keep coming back to is this one:
http://www.espn.com/nba/tradeMachine?tradeId=y3ptdqemBoston - Barnes, Collins
Atlanta - Smart, Langford, Edwards, Whiteside, BOS 21 1st, BOS 23 1st (lotto)
Sacramento - Snell, Nesmith, Huerter
So that adds about 4 million, leaving Boston still around 15 million below the apron and 2 open roster spots and the full TPE to use.
So 2nd trade
New Orleans - 2022 swap, 2024 swap, 2025 1st (lotto), 14.494 TPE
Boston - Ball, Hart
That should get Boston in under the apron, though if necessary Green or Teague could be moved elsewhere to make it happen.
Post-Trades Roster
Starters - Walker, Brown, Tatum, Barnes, Collins
Main Rotation - Ball, Hart, Thompson, Theis, Williams, Williams
Deep Rotation - Pritchard, Teague, Ojeleye
Suits - Green, Waters, Fall