I live in a small village (lots of muck from tractors on the roads etc) so my landy tends to look like it's bin off road ALL the time
I don't use AA or RAC as when I specifically asked about off road recovery, they said 'no'
So . . . I treid Brittania, and they're fine about it, also as an aside they will recover caravans/trailers as well (AA/RAC will ONLY if you have paid the extra premium) as far as I know !!!!!