In reply to Northern Star:
Consider buying the Highlands North Scramble Guide, but if you haven't been outwith of Skye theres a lot to do without having to think to hard.
Left field suggestion would be Rum if the weathers good, good traverse and the bird (eagle) restrictions on the Barkeval scrambling will not be in place.
Kintail:
Forcan Ridge
South Shiel Ridge, or for a shorter day up Aonach air Chrith's N ridge and round to Sgurr Coire na Feinne
Staying Torridon'ish and trying to add twists to well know outings:
On Liathach approach via the Northern Pinnacles, and then do the main traverse (backwards i.e. going east). Or the Northern pinnacles are worthy of a day on their own.
Beinn Allign (of course), can't think of 'twist in summer though, unless approaching over Beinn Dearg
Beinn Eighe going over the Black Carls
Faur Tholl via Leth Chreag over Sgorr Ruadh and back by Beinn Liath Mhor
Moving North:
For remoteness Mullach Coire Mhic Fhearchair via Sgurr Dubh approaching by the quartzite slabs.
Possibly finishing your time in the NW with the glory of the An Teallach Traverse
But personally if the weathers good at the end of your trip and your already 'north', I'd blast all the way up to Foinaven and do the Ganu slabs followed by the traverse, at this time of year you might get the whole mountain to yourself. Not quite as good as doing it in winter (but not the slabs) not another soul in sight, after the northern lights playing the night before, neve covering the ankle twisting summer quartzite, without a single footstep in the snow and fighter jets passing below.....it was a terrible day!
Post edited at 18:06