One low-tech indie game I played in the Long Ago had some very interesting options when camping. More recently, Conquistadors did something like this too: when you set up camp you give each Merc an assignment.
Sleep: +4 [& +1/level] Max Fatigue, or better Fatigue recovery per turn, for next battle
Doctor: heal other wounded unit(s) (perhaps this would apply only to Medic personnel)
Patient: wounded characters heal faster
Guard: lessons chance of camp being attacked
Scout: reveal hidden locations in area
Repair: speed up repair of equipment
Would be more challenging actually if mercs on the move didn’t heal or repair at all except when camped or in town. Alternately, no heal or repair when traveling *without* the appropriate skills, ie. Medic, Blacksmith
Other ideas that might not fit with Battle Brothers:
Forage
Hunt
Craft
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