Martin
Try the c&c club site in Verwood.Its a good site in a good Village atmosphere.(I do know as I live in verwood)
Not exactly within the New Forest,but close.Local pub the ALBION is 5 mins away and graet food.The Monmouth ash is 1 mile away,better value but also good.The Village also benefits from a Morrisons store also within 1 mile.Loads to do locally to much to mention.We used to caravan every 2 weeks in this area.hence we gave up the TOWN life and moved here.
Its A different pace of life,and no trouble..hope this is usefull.
Other sites to look at are
Sandy Balls,great site out of main season.
Merley Court...Wimbourne also good out of season and the Inside park Blandford.both of the last 2 are outside the new forest but very good.