Hey Lastiel, thanks for posting.
Can you elaborate on the issue with using the book way of generating a map. Are the instructions not clear or is this related to the fact that you are trying to play 'on the road' and a dice drop method doesn't work in your environment.
Assuming it's option 2. You could draw a 24x24 grid and then roll for where each die would fall on the basis that each different die equates to a number of different squares (i.e. d4 = 6 squares, d6 = 4 squares, d8 = 3 squares, d10 = 2 squares and d20 = 1 square). For the d10 & d20 you could shift the starting point along 2.
(Example. Assuming a 24 x 24 grid. I roll a d4 twice and get a 2 and a 3 and interpret this as 2 x 6 = 12 squares along and 3 x 6 = 18 squares up or down).
Alternatively just blindly mark the map page for each die by closing your eye and placing a dot perhaps twisting the map around 180 degrees for the second round.
In terms of solo, then the Fate Table on Page 6 is the most useful tool. I haven't tried solo play but if you have already created a map and stocked it then the environment is ready to explore.
I hope this helps. Let us known how you get on.