Very cool idea. I like it a lot.
Here are some HBG units that should be helpful for France when using the Cliffside Bunker split UK house rule. There are 2 types of battleships and I use the revised 2004 vessels as the cruisers, and the Nevada class vessels for battleships.
Bare minimum required for Global 1940 France setup
Full set for Global 1940 France
Items needed for house rule accessories
Union Jack Roundels
Victory Tokens (8X black / 8X white)