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I've never done this but i would imagine the vinegar might start to "cook" the internal meat...mustard has a good amount of vinegar in it anyway. I would maybe do a mustard/bourbon injection....bourbons for the smokey/sweet to counter the mustard and thin it out
A recent poster was thinking of doing this on a whole hog with some Carolina Dip. Some here inject wings with hot 'juice' for buffalo style hot wings....so, why not give it a try. It's chicken....not like ruining a prime rib if it didn't work out for you....Willie