Hi Kay, the site I've used is
http://www.lucksallpark.co.uk/
which is excellent. Alongside the River Wye, where you can fish or canoe. They hire out bikes. Theres a dog walk on site or you can walk along the river direct off the site. There is a pub about 1/4 of a mile, the Moon at Mordiford, but theres no pavement to walk on from the site. Theres also Fownhope village about 1 mile away with 3 pubs.
A couple of miles drive there is Haugh Woods where you can park and take your dog, theres marked walks depending on their easiness. Everytime we walked in the wood opposite the carpark we saw the deer.
The owners are very helpful if you need any info. The site is about 3 miles from Hereford centre.
It's not the cheapest of sites but they do a deal in Oct/Nov. for