There is a very useful thread in the Axis History forum on the Fehrmann Tigers.
That discussion led me to Tigers in Combat II. Pages 404 to 408 of Tigers in Combat II cover Task Group Fehrmann and state the task force contained 6 Tigers–F01, F02, F03, F04, F05, and F13. There are pictures of F13, F02, and two other Tigers that cannot be identified. A person posting in the forum above claims F02 is actually F01. I cannot tell.
Ground Power has the tanks numbered F01, F11, F12, F13, F14, and F15. I do not own this book.
Later in the discussion above, a person claims the numbers are F01, F02, F13, 111, and two unknown.
From the few pictures available to me, it is impossible to tell how these tanks were painted. In my opinion, the Takom box top art is a reasonable interpretation of F02/F01.
There is one more piece of information influencing my thinking. The Panzer Lehr Division was formed using equipment and personnel from a training school. It so happens I already modeled two vehicles from that unit–a Jagdpanzer IV A-0 and a Panther with Stadtgas cylinders. (Really need to finish that latter one. Fifteen years sitting in a box.) At the school, vehicles were often all over Panzer Dunkelgelb. The Jagdpanzer IV I built was later given three color camouflage.
It seems plausible that the Tigers would be in overall Panzer Dunkelgelb before joining Task Group Fehrmann. They probably did not have the tracks welded to the front plate at that earlier time. Tiger 111 does not have the tracks on the front plate.
Alternately, I could model F03, F04, F05 / F13, F14, F15 / whatever (since we do not know what they looked like or even how they were numbered) and again paint the vehicle in overall Panzer Dunkelgelb.
Tigers are hard mode. Does any of this make sense?