Yes it's do-able. Uni's always say they like Further Maths but then contradict it with the fact that it's all covered in a lecture or two. Further Maths won't get you very far, maybe just give you a bit of breathing space at the beginning. That said, Further Maths is bloody hard compared to normal maths, so be prepared for a shock (I mean, do at least read up on complex numbers).
That aside, I can't commend on the univerisites you've listed. All I do know, is applicants at Kings College London for a Mathematics Bsc+Msci courses do not have Further Maths and are coping.