Hi Kpy,
I'm sure Msr Zarse knows his way round there better than me, but I'll chip in anyway.
There's a beautiful semi timbered ancient pub in Pagham that also does b&b and has a restaurant. I've stayed there a few times and can recommend it. It's just up the road from Derek Bells cottage, so it's probably his local. Maybe Andy can help with the name. (I have a scribble in my diary that says Inglenook 01243 262495)
I also remember a pub in Oving called the Gribble (?). This is also a fine old boozer with food as well, and has it's own beer which it brews on site.
Both are only a 10 minute drive from the circuit, not too sure how far from the House.
Of course you could try the Baders Arms as well.
Where we differ from the French, is that it's almost impossible to find a good restaurant in rural areas, and pub grub can be variable to say the least. A rule of thumb: avoid anywhere that puts 'good food' in inverted commas.
H