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A minimum rest is 30 mins on the counter, for as above, the meat to relax and the juices to redistribute . But beyond that is up to you. There is no such thing as " must rest X hours. "...JJ
If I may, I will add to the already great info above:
As for the carry-over, it depends on the Temp you've been smoking at. When I smoke my Prime Ribs at 220° Smoker Temp, the carry-over is usually only 1° or 2°.
Those higher carry-over numbers occur when cooking at higher Temps.
Sorry I'm late to the party, cause I just saw this thread & I do eye of round a couple different ways, smoked to about 135, cooled down & refrigerated & sliced real thin on the meat slicer the next day for some of the best roast beef sandwiches you can imagine.
I also cure it & smoke it with pastrami seasonings on it & it makes wonderful pastrami, again I only take it to 135 for pastrami too. It is one of my favorite cuts of beef!
Al