We just got back from Stratford for our 4th wedding anniversary.
I love it there!!
This time round, we stayed in the Premier Inn, which is right in the town centre and has rooms for £29.00 per night.
I can totally recommend Lambs (on Sheep Street - http://www.lambsrestaurant.co.uk/ ) but it is a little pricey or The Old Thatch Tavern (Greenhill Street - http://www.beerintheevening.com/pubs/s/25/25632/Old_Thatch_Tavern/Stratford_Upon_Avon ) food there is also amazing.
For something romantic, you could have a stroll along the riverside, or even take a canal cruise. I think that cost around £6 each. We went to the butterfly farm and managed to get a BOGOF voucher from here http://www.vouchercloud.com/stratford-upon-avon-butterfly-farm-mobile-vouchers so that was only £6 for both of us!!
We had a lovely time and if you have the money and are interested in that kind of thing, you could do the shakepeare houses (£20 each for all of them).
Enjoy your trip, whereever you decide to go xx