Logan's fast and a decent defender. He has no power, no eye, and his contact skills vary heavily.
So why is he being given the advantage in the starting centerfield job when he's not worthy?
Here's my suggestion:
Right field - Austin Kearns, the only guarantee
Center field - platoon Nook Logan and Ryan Church. Church mashes righties and Logan is solid enough versus lefties to stay in there.
Left field - Alex Escobar's job to keep assuming he can stay healthy, his only flaw.
It's not a great outfield by any means, it's not even really good, but it's probably the best choice out there short of eliminating Logan entirely and bringing in Casto to be the primary left fielder with Escobar splitting time at left and center.