Scafell Pike from the north is a must, and just about within your remit
(okay, might be 9 miles...). My wife walked it with me fairly easily
despite being unused to hillwalking & not being that fit. Superb
scenery & views, you can easily make it into a circular walk (go up the
corridor route & back past broad crag & ill crag and down a stream that
might (bad memory) be called Grains Gill), plus the kudos of standing
on the highest point in England. Make sure you get there earlyish to
get reasonbly close parking spots & also visit the Bowder Stone on your
way there.
Also walk up from Haweswater to Small Water which is set in a deep
corrie (or cirque or cwm, depending on nationality?) and is my
favourite of the lakes.
It goes without saying that you should take map, compass, water, food,
waterproofs etc on any hillwalk in the Lakes as the weather can close
in suddenly - I'm sure you knew that though!
I'd definitely recommend staying in Ambleside - excellent choice of
restaurants, good local evening walks up to Lily Tarn (for the best
views of Lake Windermere) or up to Sweden Bridge.
On a wet day be sure to try the intriguing "Puzzling Place" in Keswick,
a museum of optical illusions.
Hope I've got the names right as this is all from memory!
Cheers
Anth
PS Please link to www.wheresthepath.com