Brunswick light troops were not so many (their foot jägers were disbanded in 1763) and doesn't seem to have taken part in some serious action.
About Brunswick Jäger corps, Kronoskaf says:
During the war, the unit skirmished at countless small engagements like Oberelsungen, Butzbach, Beberbeck, Busdorf, Homberg, Amenburg, Oelper and Gruningen. On July 10 1760, the corps took part in the Combat of Corbach where it was attached to the left column under Lieutenant-General Griffin.
All in all you opened an interesting topic and I'm sure more other gentlemen in the forum will be willing to provide you with more information.
If you consider the scenarios in the HoW rulebook, and those which can be downloaded from this site, they have been designed for any two armies to oppose one another, and light troops play a role. Some of the most enjoyable games I have played have been these fictional scenarios, and they merit playing several times and switching the armies around. They also have the advantage of being not too big. If you refer back to the earlier battle reports you can see how some of these played out with different armies.