Hi

I've just looked on here http://www.holidaylettings.co.uk/index.htm

and there are a few properties still available for the dates you want. Although you dont' say where you would like to stay.

If you look at property numbers

26168
41966
34666

these all seem to be available. just type in the number half way down on the left, and it takes you direct to the add.

I have also pm'd you a phone number of a lady who rents out a few apts on garden city. Maybe she could help you. I've booked apts with her before and she is very good.
good luck and let us know how you get on.