I completely agree that the coach is important. I would also mention that if you are serious about improving your short game, access to the proper training facilities are also important.
If you already a club member, then that should not be an issue.
If not, it is better that you choose a coach who has access to decent short game practice facilities (or even better, a short exec course) that you can also go and practice on even if you are not having a lesson with him.
As for which course, coach and location, it really depends on what is convenient for you I guess.
What's in the Bag
Driver: Callway X-Hot 10.5 with Fubuki 50S (pulled from a TM Burner SuperFast)
Woods: 19 Deg Callaway X-hot Proj X Stock S Flex
Hybrid: 22 Deg TM SF i70R, Cobra Baffler 25 Deg NS950R
Irons 5-Pw: Titleist 704 CB NSP950 (Flex Unknown - think it is R)
Wedges: Perry Gear 52 Deg DG S300 and BFG 55 Deg KBS Hi-Rev, Tourstage 60 Deg
Putter: RIFE Antigua Island with Champ Large Grip