Please know that when you go into the Criminal Case Travel In Time Game to collect a bonus there is a counter that shows how many you have already collected for each type. The bonuses here do NOT conflict with those found on the Criminal Case Travel In Time Page.
If you attempt to exceed your maximum number allowed per day the game will not permit it. That happens no matter where the Criminal Case Travel In Time Bonus come from. Here you will NEVER have to wait for your team to provide these bonuses. You will never have exhausted or expired Criminal Case Travel In Time Bonus.