When I was at RAF Honington, I used to go for long walks in Thetford forest, especially around Brandon, beautiful and peaceful.
The only downside, it that Thetford is attached to the name.
I think there's a Centre Parks in there somewhere?
If you're into gardens or walking etc, this place is worth a visit
https://www.nationaltrust.org.uk/ickworth
The Nutshell pub is worth a tipple or two.