You are referring to what some call trail braking, when you use the rear brake to hold back the bike while increasing the revs and not letting the clutch all the way out, but keeping it in the friction zone.
But first, welcome to the forum! I enjoy interacting with new riders.
Can you be a bit more specific on the details of your balance challenge. Is it at a fast walk speed, low speed maneuvering like trails/parking lots?
What make/model bike are you working with?
Just trying to get a better picture of what you are going through.