So you want to put some blocks of dry ice into a cooler, and keep them a while, somewhere ... warm. If you put them in a Styrofoam cooler, what you have is a calorimetry problem, we get those here often.
I hate computing those.
Anyway, you have a certain mass (chucks of a certain thickness isn't specific enough I'm afraid) you can look up dry ice's heat capacity, you know its starting temperature, and you know the temperature of the "warm" room (we need numbers to compute.)
Maybe you better just try it and see. Or ask the dealers of dry ice.