Walking tours Scotland

Hi an American colleague of mine has asked me the following and I thought you guys (:)) would be better placed to answer than myself:

"August-2019, we are planning to take a two week Holiday, mostly in Scotland but also northern England, Lakes District likely.
We are looking at 7 to 10 day walking tours in Scotland.
The tour company sets up our itinerary, books the lodging and carries our luggage from place to place.
We carry day-packs and hike/walk from destination to destination.
We’ve just begun exploring our options and tour companies.
Any recommendations? We would like wild country and get some elevation on our walks.
We did a similar trip in Switzerland and enjoyed the mountain hiking.
We’re not particularly drawn to the sea coast so we aren’t focused on those destinations."

My brother done the West Highland way and the Lake District's cumbria Way he really enjoyed them.