Just running some numbers because I have time on my hands...
If one were to add a pint of tincture (which itself has 1 ounce of goods in it), that would bump the ABV up something like 2.5-3% in a standard 5 gallon brew (one should probably assume 3% to be safe). So if one is going the tincture route, the best bet would be to roll with a brew that is naturally around 6-6.5% finishing ABV, and use a strain tolerant of high alcohol levels (such as WLP007).
I'd further recommend a darker style that has a nice hop influence, to limit/mask any potentially negative flavors/aromas the tincture might add. From where I'm sitting, Everclear is flavorless and fairly neutral, but you never know.
Something that I'm considering when I have the time, etc, to do this would be the Fiend's Manna brew in my sig, backed down to about 6.5% ABV, with the hops additions likewise curbed. Tincture added at bottling, along with the priming sugar (to ensure even distribution).
My only question is, will 1 ounce distributed between a 5 gallon batch be enough? I'm very temped to say yes, as that would be about .5 gram per bottle equivalent. And if you have the really good stuff, that's all you should need. One thing is for certain, though: I doubt one could get away with using more than a pint/500 ml of tincture in a 5 gallon batch. It'd just be too much booze.