Marc,
I have been looking through one of my reference books - Monograph's special edition: Messerschmitt Bf 109 F: The Ace Maker, and it does list the two (or three ) different props used in the F series. For the F-1 and -2 the prop was the VDM 9-11207A, on the F-3 it was the 9-12010A, and then on the -4/Z it was the 9-12087A. I found on page 6 of this book that the F-1 prop as listed above was" a 9 ft 10 in diameter (3m) metal propeller of constant speed design" to quote the book.
It is a great book, soft cover with details of all variants, scale drawings in all three popular scales, several wonderful color profiles (the F-4 that I am building will be one of them) as well as an excerpt from some German texts showing detail drawings, and a great page that highlights the external changes between different models.
Looking through the book, there are several pictures of winter camouflage birds, as well as one color three view profile. In the pictures it is hard to tell for certain, but it appears that the undersides were not white, but still RLM 76 which the color profile supports as well.
Hope that this helps.
<Matt