Hotel reservations can be done via
https://www.aps.org/meetings/april/housing/index.cfm
Rooms have been blocked for workshop attendees incl. checkout Feb. 4, 2017.
General advice for late bookings: If you do not get the standard room rate, you can try to reduce the cost by various deals, see http://www.marriott.com/hotels/hotel-deals/wasdt-washington-marriott-wardman-park/
It is important that you use the conference hotel. Booking in the APS / GHP block will help APS keep meeting costs down.