Oooh how exciting - I'd underplant with narcissus pseudonarcissus http://www.kew.org/plants-fungi/Narcissus-pseudonarcissus.htm, the original 'wild' Brtish native daffodil, native primroses, and English bluebells for the spring. They ought to cope fine with the conditions but if you're worried, can you create banks for the primroses (and maybe some wild-type violets too)?
For summer I'd put in wild flowers such as cow parsley, pink and white campion, and wild foxgloves, and some dryopteris ferns and hardy geraniums, and some honeysuckle.
For the autumn, some clumps of arum pictum, and tall teasels coupled with the seed heads of the cow parsley and the coloured leaves of the geraniums and the hazel will look lovely, and in the winter the frost on the ferns, honesuckles and hazels will be fantastic.
I'm getting carried away 
Just had an idea - have you a lower area where you could create a pond for the nut grove to drain into - then there's loads of other marginal stuff you could plant,. wild water mints, purple loosestrife - watch out I'm getting carried away again and anyway, you've probably thought of a pond anyway 