There are several designers who can fit perfectly into Burberry's DNA, just take a look at the now dead London Collections: MEN from 2015:
You want sartorial modernity? You have Joshua Kane
You want modern traditionalism? You have S. S. Daley
You want streetwear? You have Daniel W. Fletcher
You want modernism in outerwear? You have Lee Roach
Burberry can experiment with little-known designers who do their job wonderfully, because they know they would design with the DNA and history of a nation in their hands