This is the last I read about Drew from Yahoo's player notes:
Jul 27 Dodgers.MLB.com's Mark Thoma reports Los Angeles Dodgers OF J.D. Drew (wrist) is slow to heal from his broken wrist. Doctors said there's a 60 percent chance the wrist will not heal correctly and ligaments would be at risk of coming detached from the bone. "It doesn't feel good," Drew said. "Slow progress now, mobility and trying to get your strength back."
Sounds to me like you shouldn't depend on him getting back and being productive this year -- he might return, but don't hold your breath given his track record. I own him in my dynasty-like keeper league and have basically given up on his return now, expecting to just keep him in my DL slot. Picked up Swisher a month ago to be his replacement at RF. If nobody else is available, you might want to grab Francoeur to fill in for you until he eventually cools off.