Probably going to go with a fairly dusty/dirty look, but without a ton of caked on mud.

I like the look of the basic brown stripes, with a few bits of blotchy green. Probably painted on at a refit depot with a rough brush.
Bit of a shame the kit has all the molded on tow cables and very uniform molded on zimmerit.
Found this online, about Tiger 1s at Arnhem:
"Schwere Panzer Kompanie ’Hummel’ with its 14 x Tiger I tanks entrained for Arnhem on the 18 September 1944 under the command of Hauptmann Hans Hummel. Due to the rail-line being blocked, the company was required to detrain at Bocholt and make the remaining 80 km journey to Arnhem by road. The Tiger Is were utilised in the fighting for the Arnhem Bridge before being employed south of the Rhine against the advancing elements of XXX Corps in the Betuwe. The unit continued to be employed in Holland before being permanently attached to schwere Panzer Abteilung 506 as its 4th Company in November 1944. It took part in the Ardennes offensive in December 1944, continuing to fight on the Western Front until the remaining elements surrendered in the Ruhr pocket in April 1945.
𝐀𝐫𝐧𝐡𝐞𝐦
The first two Tiger Is of schwere Panzer Kompanie ’Hummel’arrived in the early evening of the 19th September 1944. They were commanded by Leutnant Knaack and Feldwebel Barneki and were assigned to Kampfgruppe 'Brinkmann'. Their presence was made felt almost immediately when the pair of Tigers drove up Nijmegenseweg and onto the ramp leading to the bridge and started to systematically shell houses occupied by the British Paratroopers. One Tiger I was damaged after being hit by a 6-pounder Anti-Tank guns housed at the British Brigade HQ building scoring a direct hit on the turret and gun barrel. The remaining Tiger worked closely with the Panzer-Grenadiers of Kampfgruppe 'Brinkmann' eliminating the last pockets of resistance around 0500 on Thursday 21st Sept 1944 at the Bridge.
The remaining 13 Tiger Is were attached to Kampfgruppe 'Knaust' and moved across the Arnhem Bridge on the 21st Sept to take up positions near Elst in a blocking line to stop the XXX Corps advance into Arnhem. The Tiger tanks posed a real problem for the Allies but the British 43 Wessex Infantry Division was able to significantly reduce the Panzer Company’s capability when it laid an ambush on 22 September 1944. Tigers could be heard advancing in the dark towards the British positions when an ambush was sprung utilising mines and piats. As soon as the first Tiger hit the mines, Piats were fired and confusion reigned amongst the Tiger crews. Some of the tigers tried to reverse but slid off the road into the soggy soil and were bogged deeming them inoperable. The Company lost at least 2 tanks in this action alone. Hummel’s company would lose another 2 x Tiger Is in the battles around Elst before the unit withdrew and the vehicles serviced in Utrecht, Holland.
𝐂𝐚𝐬𝐮𝐚𝐥𝐭𝐢𝐞𝐬/𝐋𝐨𝐬𝐬𝐞𝐬
A total of 8 x Tiger Is were either damaged, destroyed or abandoned during the battles in Arnhem and the Betuwe – equating to a 57% loss for the unit; a figure that could not be sustained at this point of the war. It is unknown the number of losses in personnel but must have been also high in comparison to vehicle losses."
I think the tank in these pictures is one that slid off the road.

