After a bit of searching on the BT forums it looks like you can but will have to pay a monthly fee for your e mail accounts. Procedure (taken from a BT forum answer):
1 BT Broadband ceases.
2 Enter 90 day "grace period".
3 After about a fortnight from BB ending up to the end of the grace period you can call 0800 633 5335 and pick option 3. That gets you into setting up a DD for the mail addresses you still want. £1.54 monthly per e-mail address.
Best bet is to move everyone to a gmail (or similar) e mail address and then you'll never have the problem again.