Yes...but you enter from Livingston Lp. You will not travel on Rainey Trl.
Traveling on Churchill Downs Ave you would turn SOUTH on Livingston Loop.
...then just a little ways down....
...the Golfcar entrance to Promise Hospital is on West side of Livingston Lp.
also see.....
Carting The Villages -Home
..when the map opens up...look in the Upper Left Quadrant of Map..
...find the corner of Buena Vista Blvd and Belevedere Blvd.
..go WESTon Belvedere Blvd.
..go SOUTH on Lynnhaven.
..go WEST on Churchill Downs.
..go SOUTH on Livingston Loop.
..look to your RIGHT (WEST) ..
..the entrance is not far down Livingston Loop.
the blue line takes you in to back of Promise Hospital area.