If you are looking for out-of-state liberal arts colleges not too far from Ohio, and if Dickinson seems like a potential match in terms of selectivity and atmosphere, then another one to consider might be Centre College in Kentucky.
Centre (#46) is ranked similarly to Dickinson (#51) in the USN&WR liberal arts college rankings. Both are located in relatively small cities, in proximity to larger cities. Both are noted for international focus and study abroad programs. Neither is known as a party school.