hello, "chassseurs de France" were the "chasseurs à cheval de la ligne" , it is the official name of them under Louis Philippe, and it stays unoficialy during the second empire!
for the bat'd'af (bataillons d'infanterie légère d'Afrique) the dress was the same as line infantry, the main differences, were white metal butons and NCO /officers stripes (jackets and kepis) black stripes on officers/ trousers (like FFL) , for privats yellow stripes (corporals) and white metal buttons, yellow straps on kepi (blue for infantry), blue or red sash like FFL.
The Bat' d'af were soldiers with an ancient civilian or military jugement, iff a soldier was judge one time during his duty he was in "compagnies de disciplines" two times , "sections de pionniers de discipline" . First were armed like Bat d'af, second were not , it was a kind of jail with working on algerian roads all alond the day! the "bagne" a kind of penal colony. The most celebrous was Biribi in northern africa (just after Second Empire)!, and the devise was the famous "march or die" wich was adopted soon by FFL too !
best regards
paco