Soaring through White Sands restricted airspaces

I don’t have the latest Albuquerque sectional in front of me,
but according to my SeeYou maps, the R-5107D restricted airspace over
White Sands Missile Range in New Mexico goes from the ground to
22,000ft, and R-5107B (adjacent to the west) goes from the ground to
the moon, both continuous (24/7).

Yet the Alamogordo airport (where the White Sands Soaring Association
is based) is well inside the eastern edge of 5107D. Is my SeeYou map
wrong? Is 5107D restricted only from Monday to Friday, or does it not
include the Alamogordo Class D?

What about 5107B? Is it transitable during weekends, either implicitly
or by getting clearance?

Ted W
(Trying to figure out the best way to fly from Hatch or Las Cruces to
Alamagordo)