Agreed that jet lag day is much better spent outside getting some fresh air and hopefully some sun, which will help your body acclimate better anyway. A stroll along the Seine is much better than trolling around the subterranean tunnels of the Metro IMHO.
The best map I know - and still use after living here for 10 years -- is the map book Le Petit Parisien - 3 Plans par arrondissement in the l'Indespensable group of map books.
It has three maps for each arrondissement -one showing every street listed and detailed; one with the Metro system overloaded on top of the street map; and the third with the bus system overloaded on top of the street map. Back of the book includes all the overall system maps for bus, RER, metro, etc.
With the tickets from the carnet of tickets, you can transfer from one bus to another. However, you can not transfer from bus to metro or metro to bus; and if you buy the ticket from the bus driver on the bus you can not transfer between buses either (and anyway the ticket is more expensive!).
I'm glad you've found a good resource, and I think it will help you, but I urge you to approach your jet lag day differently!