If it were my house, I'd want the flange at the standard 12" from the finished wall...then, I'd have a huge range of choices at any time in the furure (or now). If you moved it closer to accommodate your preferences for a specific toilet, you'd forever be stuck should you wish to remodel down the road.
Why the Drake ends up with a larger gap than many, I don't know. It is a good toilet...I put two of them into my mother's house. If I had to do it today, I'd seriously consider the Drake II for the neater bowl wash and lower water use. Toto just announced a new toilet that only uses 1g! Not sure when you'll actually be able to buy it, but if you were in an area where water was particularly dear, it sounds like a great choice.
Important note - I'm not a pro
Retired Defense Industry Engineer; Schluter 2.5-day Workshop Completed 2013
Actually, 11.5 would do that.
If you can get past the styling of the Promenade and if you fit on a round bowl. If you can spare 1 3/8" you can get the Aquia III which looks better, has an elongated bowl and has dual flush. Unfortunately, it's not available with Sanagloss.