It's at the Sheriden New York. There is another Sheriden directly across the street.
I stay in NY often and find very good rates at the Best Western President at 48th st.
or the Days Hotel midtown. Nothing fancy though. It wouldn't hurt to call the number listed for the show and ask if there are rooms availible at a show rate.
Don't overlook Broadway as a way to convince the wife to take the trip. All the big plays are just a short distance from the hotel as well as them fantastic lights, carriage rides
and great cheesecake.
Loved Miss Saigon and Les Miserables.
Unfortunately the show tickets are $75 to $80 each for the best seats. Might bite into the knife budget tell her she has to buy the show tickets.