I'd love to see how this works out - it's so good to laugh! And I can't find a comedy relay, so I think this might be a niche.
Starting it off with
Red Dwarf: Infinity Welcomes Careful Drivers by Grant Naylor, the first in a series of four books based on the cult TV comedy.
Normally books of the TV series are pretty awful - this is one exception! It goes into more detail, and still retains all its funniness. I very thoroughly recommend it!