I've put together a list of some reasonably priced trips to New York City. 

All trips coming in at £1000 or less at time of posting, obviously price changes can and will change. 

4 Nights At The Sheraton Hotel, Times Square. 

2nd March - 4 nights. 

£890

https://expedia.com/affiliate/dDbiZy2

4 Nights at The Moxy Times Square. 

2nd March - 4 nights. 

£860

https://expedia.com/affiliate/7mRcSzq

The Lexington Hotel

1st April, 4 nights. 

https://expedia.com/affiliate/OhjH6lS

£950

The Paramount Hotel, Times Square

5th May - 4 Nights

£865

https://expedia.com/affiliate/q4pP2wF

The William Hotel, Midtown

6th July - 4 Nights

£1000

https://expedia.com/affiliate/Pyqm3g7