In reply to Rick Asher:
Looks like you have lots of suggestions for actual routes from books and people a lot more knowledgeable than me but I would add a +1 to that idea of building in a couple of off days. If you are walking for a month, there will be at least a few days where it's very windy on the tops/ridges. You might just be able to push through it if there isn't any serious fall potential from being blown over but equally, it might make for a knackering day where you can only get a comparatively short distance done.
For context, on the West coast at sea level, it was gusting more than 30mph on half of the days in June this year. And it was 50mph or more on 6 days out of the month.
On the summits and ridges, you can likely add at least 10mph (or perhaps 20?) to these wind speeds.
And if you were thinking of going any time outside the April to Sept window, definitely add a lot more windy days on top of the above stats.
Walking in 30mph is probably fine, though more tiring than normal, but anything above about 50mph is going to be a real struggle and pretty unsafe on knife-edge aretes and summits with steep cliffs.
In the end, it might depend on how short and fat you are. If you are 5'2" and at least 250 pounds, maybe you can push it to higher wind speeds.