Disco 3 (LR3) All Terrain Tyres

Just bought a Disco 3 with some really poor Nexxen tyres on it.
I need an all terrain for muddy fields etc (about 25% of my driving) but there seem to be really limited choices for a the 19" rims I have. As I said above I'm about 75% road miles with another 25% off road at festivals/farm tracks etc.
Can any one advise on some tyres that arem't going to break the bank?

Sadly they will all break the bank, the Pirelli Scorpion ATR are meant to be good so thats what I fitted to mine, 500 odd quid a set though?
On the plus side they are meant to be good for 30 to 40k unlike the Pirelli Zeros which wont make 15k!
Some of the D3 forum guys fitted general grabbers I think it was and they actually wore the wheel rims away, if you search the D3 forum you will see some images