I think if the qualities are who is best ready to president and has a lot of relevent exeperience, here is my list:
1-jeb bush, managed a large state and is popular with hispanics
2-mitch daniels, managed a large midwest state for 2 terms, and has cabinet experience
3-jon thune, 2 term senator from the midwest
4-jim demint, 2 term southern senator
5-richard burr, 2 term southern senator
6-lamar alexander, 2 term southern senator
7-tim pawlenty, 2 term midwest governor
sam brownback, governor and 2 term midwest senator
I think there is a strong chance that someone from this group will be the GOP vice president.
If you were looking to name the dullest politicians in the republican party...you win!