The one that runs from Radio City to Rockefeller (and maybe St. Pat's????) would run parallel to 50th St. (east/west). I think band's hotel was on 50th St, but in the other direction.
Is there a way to find out if there's a north/south tunnel that runs parallel to 5th Ave.? Two tunnels that intersect at 50th St. and 5th Ave. would connect 666 Fifth Ave., Rockefeller Center, and St. Patrick's Cathedral + anything else along Fifth Avenue or 50th St.