Welcome,
For off roading, there's Bures Pit on the Essex/Suffolk border
http://www.bures-pit.co.uk, but it does tend to be over run with Landy's who's owners think their motors are the nuts, won't help others who are not in a Landy, and will basically put you and your Fronty down, at every chance, but apart from that it's not too bad a place, but it's gone down hill lately in the quality of the site stakes
http://www.wildtracksltd.co.uk/ is in Newmarket. Never been there, but I'm told it is more intended as one of those 4x4 experience sites, rather than a pay and play, but they do do pay and play days.
Apart from that, if you want to make the journey one day we have a lot going on in the south east region. Have a look that part of the forum if yuo may be interested.
Depending whereabouts in Suffolk you are, I'm looking to do a laning day in a few months, which will be around east Herts, and west Essex.
Unfortunatley your particular area doesn't seem to have much going on at the moment, but there are plenty of members in Suffolk and Norfolk. Might be worth trying a post to organise a day out yourself, as there was some interest when the last one was mentioned done last year
viewtopic.php?f=44&t=24767&p=278770&hilit=+norfolk#p278770