The nearest place to Hereford I've been to is Strawberry Hill Wood at Llanvihangel Crucorney. A very pleasant SSI.
I found this site, which has quite a lot of information which may help you: Gwent Wildlife Trust. They seem to have sites in Herefordshire too. Not quite sure how it all works.
Hi Dollymoss... it's hard to tell, as not everyone gives out their location details.
I would like to see more postings to this thread, my brother lives in Abergavenny, so it's not too far away when I go to visit him.