Assuming you mean WUSTL, both are quite good. UR has its hospital right across the street from the main campus making doing research or volunteering there super easy. WUSTL’s is about a mile away if I recall correctly what they told us when visiting.
I think both accept a reasonable amount of their own students (more than from other individual schools), but you need to be at the top of your class to be one of them.
Any med school is going to respect the undergrad name of both.
Getting to either from the airport is quick.
Pick which one you like taking into account what others have said about cost if it varies for you.