Your plan sounds pretty good. Backing out to the fairway seems the way to go, given your prop walk and the predominant wind direction.
RhosynMor has a great point about walking the boat out or, in your example, you can just let her drift, keeping a line
on to guide her around the corner.
Instead of keeping the bow line
on, you could try keeping an aft spring on and motoring against it, wheel turned to starboard. This will kick your stern into the pier (use a fender
or rubrail, of course) and will keep the boat fixed in place. You can then tend to the other lines
at your leisure. Once you're ready to go, take the engine out of forward gear and either let her blow out or guide her with some reverse (and make use of that great prop walk). The nice thing about this approach as opposed to keeping the bow line
on is that, with your predominate wind off the bow, the spring won't be under tension once you pull the engine out of forward. The missus will easily be able to uncleat it. You could also run loop the spring around the aft cleat
and keep it in hand at the helm. When you're ready, pop the engine out of gear, flick the spring, and you're off to the races.
But basically any departure that doesn't injure anyone or any boat works just fine. I'm still trying to find the perfect method of departure when the breeze is irregular. :-)