Ketosis-friendly lip scrub/scuff?

I used to use a lip scrub by lush. But it is primarily made of sugar, and yes, I'm that paranoid about ketosis.

Winter is coming, my lips sometimes get flaky: c'mon girls (or, indeed boys) recommend me a lovely, effective lip scrub.

Budget not a problem, probably.*








*unless it's made from tiny diamonds or something.

Ello treacle, how are ya? Have a looksy here...

http://www.sarahapp.com/products.php

The peppermint one has outstanding reviews and seems to not have sugar in. some of the other flaves have sugar listed as an ingredient but not the pmint one, looks lovely x