Looking at Warwick's G100 (pure Maths) course, I believe that if you don't take FM, you will not get the offer, i.e. FM is an absolute requirement for the pure maths course. (Same applies for Maths & Econ or Maths & Business I believe)
That being said, I would look at the Mathematics & Physics course which would allow you not to take FM.
This is from the Maths&Physics page: "For students not offering Further Mathematics, the typical offer is Mathematics (A*), Physics (A*), third A level (A)"
As well, if you are interested in a little Economics or Statistics, it would be worth a shot looking at the MORSE course (Maths, Stats, OR, Economics). Their offer without FM would be A*A*A*.