I'm smoking on a lol Tex and have had no issues with getting smoke into meat regardless is brined or not. Though I suppose it depends on how smoky you want things. If you want things smokier perhaps keep the temp low for longer before putting the spurs to it.
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Traeger lil Tex, 2 Weber 22.5", UDS
Mop, Sauce & Two Smoking Barrels BBQ Team
They call me "Dave"
Veteran Noobian Warlord