Evan E
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I would recommend blanching the sprouts first in seasoned water. Season the blanching water to taste, blanch the sprouts for color and taste, then sear in a separate saute pan. Deglaze the pan with the shallots in it to get excess flavor when adding shallots to the pan with the sprouts. Check for a nice sear on the sprouts by checking one with a pair of tongs, then toss and add a pinch of butter, deglaze, check for seasoning, adjust if necessary (shouldn't really have to much if at all, as seasoning was done when blanching), then boom - amazing sprouts.
Just my 2 cents. The flavors will be much more distinct this way, and the seasoning can be much more controlled by tasting the blanching water ahead of time, adding a nice sear to the sprouts, and not messing with the carmelized taste of the shallots by seasoning directly at the end in excess.