For a cheap greenlane/runabout alongside whatever new bike you opt for I can recommend the BMW F650, comfortable, practical, economical and plenty capable enough for greenlanes. The best bit is that they are pretty underated and so relatively cheap and plenty around. Having recently ridden a friends I will be buying one in the next couple of months.
As for the new bike you have a massive choice; of course if you were to widen the criteria to say bikes a year old you increase your choice further having let someone else take the hit on the initial depreciation.
I hope you get what you want, in the meantime enjoy the search!
