Actually, I discovered quite by accident that the simplest way to do this is to simply let the alcohol/water evaporate in open air. I placed a little bit of extract, maybe about 1-2 teaspoons in a tin with a flat bottom. This allowed the extract to spread out with a depth of about 1/4 inch. Simply leaving it setting out on the counter on a warm day for a day or so allowed it to reduce down to a goo. I then reconstituted it with water, and used a dropper to apply. Very simple, requires no special setup, and no risk of altering the properties of the maple by heating. One could also use a larger tin to process more extract while keeping it spread out and the depth at a 1/4 inch.
The next time I will set the tin on my gas stove top above where the burner pilot light burns underneath, which gets quite warm to the touch, and it should evaporate more quickly.
One thing I will note regarding using the extract versus maple syrup, is that I don't think it is especially economical as I was hoping to achieve. In fact, to get the same degree of flavor, it seems it might even cost more to use the extract. However, the extract does avoid the sugar.