Whenever you do log out, do so in a cantina... make sure that you see a "You entered a resting place" on your screen.
Actually, not a bad idea at all. Got bored with my Merc and rolled a Sniper for a bit. Played her for about...2 weeks maybe? Finally came back to the Merc, who I had left in Fleet.
He was 39 a few days ago, now at 45. All I have really done is the class quest, some random stuff on Hoth, and FPs. The Rested XP bonus just ran out last night. So leaving your toon logged out for a few days coupled with some CM XP boosts? I'm not sure it those stack with the Rested bonus, never tried.