Hi There,
I am not sure about OTD programs, but there are quite a few MSOT programs in the Northeast that do not require GRE's. I think that all of the OTD programs will require the GRe's because of the level of the program, but here is the schools I applied to that did not req. GRE's.
University of New Hampshire
Springfield College
American International College
NYU
Columbia
Sacred Heart Univ.
University of the Sciences
SUNY Downstate