The East-West traverse of Suilven is my suggestion, preferably approaching from Ledmore to the SE - a bit longer, but I think the going is easier than the other routes, with a fair bit of stony, heathery ground rather than bog. Richard Gilbert's book
Exploring the Far North West of Scotland (Cordee, 1994) has a route description (pp. 93-94), or I could give you more info on request. (You need to know where to go when you arrive at the top of the unexpected 100ft sheer drop.
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When reading the OP my immediate thought was the Forcan Ridge, but simon-b has got in first. I would endorse this recommendation, and suggest giving it a high priority - it really is a great route. (In passing, I haven't done his other suggestion of the NW ridge of A' Mhaighdean so that's going on my own 'bucket list'.)
If you would like a real expedition when on Skye, there's the Dubh Slabs, graded Moderate *** and described in the Skye Scrambles book as "...arguably the finest outing of its grade in the country." (The abseil can be bypassed.) The biggest difficulty is getting there, as you have to start by Loch Coruisk, and end back by Coruisk or in Glen Brittle. When we did it we had two cars, left one in Glen Brittle and got the boat from Elgol to the head of Loch Skavaig, so your difficulty being on your own would be more the transport than the climb. A guidebook with you is pretty much essential.
Hope these might be of interest.
Angus