FWIW, the only time I (personally) have seen "monthly" trip tickets have been with civvie pattern "duty" vehicles, that's within the comm-res. All SMP vehicles have been issued on per detail trip tickets, to a specific individual. That being said, the name of the driver on the trip ticket isn't always nessascarily the only driver.... I once had to operate 4 different MLVWs all at once as the only available MLVW driver... all were platoon vehicles, though the platoon drivers were tied up elsewhere... as each was loaded I'd drive it for unloading, and bring back an empty one... most secondary drivers unfortunately usually don't know, or don't bother to note their kilometers on the trip tickets.
Out of curiosity, as I'd like to maintain my troop lift, and I really should have started a log book a while back, are MSE log books a standard sort of thing, or will a simple notepad suffice?