Here's one idea:
Sign: Encarnacion & Boone Logan (LHP)
Trade: Blake Swihart, Travis Shaw, and any three from: Michael Chavis, Trey Ball, Josh Ockimey, CJ Chatham, Henry Owens & Brian Johnson (maybe we have to include Basabe or Travis)
For: David Robertson & Todd Frazier
This leaves us with....
SP: Porcello, Price, ERod, Buch, Wright, Pom (LR)
RP: Robertson, Kimbrel, Smith, Kelly, Ross, one from: Barnes/Hembree/Abad/Scott
C: Leon, Vaz
1B: Ramirez
2B: Pedroia
3B: Frasier
SS: Bogaerts
LF: Beni-Young
CF: JBJ
RF: Betts
DH: EE
Utility: Holt, Hernandez (Moncada)
Line-up is kind off righty dominated, but...
1) Beni v R/ Pedey v L
2) Pedey v R/ Bogey v L
3) Betts
4) EE
5) HanRam
6) Frasier
7) Bogey v R/Young v L
8) JBJ
9) Leon/Vaz