The Royal Army of Scotland

[Canadian Army]

Here are few regiment suggestions:

Infantry:

The Royal Scots
The Royal Scots Fusiliers
The King's Own Scottish Borderers
The Scottish Regiment of Foot Guards
The Cameronian Regiment

Cavalry:

Royal Regiment of Scots Dragoons
4th Troop of Horse Guards

Militia:

Lonach Highlanders
Atholl Highlanders
Manus O'Cahan's Regiment of Foot
Royal Company of Archers
Lovat Scouts
Glasgow Highlanders
Highland Light Infantry

French Advisors:

Garde Écossaise