In reply to SCGale: In the absence of more qualified replies I'll pitch in with a couple of ideas. Parkhouse and Chrome Hills in the White Peak would present an entertaining winter walk with mild mountaineering flavours. In the High Peak going onto the Kinder plateau you have Red Brook as you head towards the Downfall from Hayfield, Grindsbrook from Edale and a few others dotted about. Crowden Clough is popular but has the steeper waterfall section and perhaps falls outside your remit for the day. I suspect Red Brook fits the bill best and has an entertaining approach along the River Kinder.
I have to say I have only done these routes in summer, when they attract a scrambling grade of about 0.5, but hear good things about them in winter. You could do worse than get a copy of the new Cicerone guide which covers both summer and winter grades and is very comprehensive:
http://www.cicerone.co.uk/product/detail.cfm/book/674/title/scrambles-in-th...
Have a good day
Andrew