You most likely don't have enough for 16 nights in any single chain's program for that length of time with your stated preferences. There could be enough to come up with 16 nights from a combination of programs if you don't mind switching hotels. That's assuming availability of course. You can search for real-time availability and points requirements on each program's website. With only a handful of programs in question it won't take long to see who has availability and at what points levels.