Chance Wagner or Brown will be up with the team soon? V-mart would make a fine DH/1B.
If you don't want to cut Ortiz then it's time to cut Lowell. Too much defensive suck on the bench, we need some youth and mobility there. All of our bench guys are mediocre defenders at the positions we expect them to back up at (Tek at catcher, Lowell at 3B/1B, Hermida at OF, Hall at SS). It's a huge "hidden" weakness of the team.
if I had my druthers I'd clean most of the current bench out, consider doing the same to Big Papi, and go with defensive guys, with the exception of Hall, since he at least brings tremendous flexibility.
CUT: Mike Lowell
CUT: Jason Varitek
CUT: David Ortiz
SIGN: defense-first backup SS
CALL UP: catcher Dusty Brown
TRADE: catcher Chris Snyder
V-Mart DH/1B/part time C
Defense-first SS guy (Nick Green type)
Dusty Brown, backup C (may play a fair bit if the defense is as advertized and his OBP holds around .340 or so)
Bill Hall, IF/OF
You're losing a ton of offensive potential, but stabilizing the bench is very important and getting some defense off the bench is just as important. With Lowell Tek and Ortiz gone, a third catcher can be justifed and V-Mart takes over primary backup 1B duties.
Make a deal for Chris Snyder of the Diamondbacks if you need a catcher who'll hit in order to be happy with life. He should be available since Montero looks like he's going to be their guy going forward and the Diamondbacks have no shortage of holes to fill so they should be open to trade. I'd mention my personal mancrush Mike Napoli instead as a possible trade target if I thought the Angels would make us a fair price, but right now that's unlikely as Jeff Mathis is hurt.
If you need a roster spot for Snyder, and/or haven't given up on Ortiz, forego the backup SS and limp along with Hall, although that's far from optimal.