I can't tell you exactly how an eye of round will raise in temp being wrapped in a cooler for 30 mins, but I can guess. So I ate Christmas dinner at my parents and they bought a big beef tenderloin. They wanted it medium'ish (the term they used) so I brought a probe and told them to putll it off the grill at 130, which they did but I didn't know that they would need to rest it for 40mins because some of the other food was behind. So they wrapped it in foil and put it in a cooler bag. When it came out it was almost well done
So that being said my guess would be to take it off before 125. Maybe 120ish. Just a guess though and maybe some others will have some input.