It's strange, I try and do your route on both viamichelin and RAC Route-Planner and the moment I click "avoid tolls" or "avoid tolls where practical" it throws up an error. I've no idea if it is is temporary glitch because they both pull their info from the same source, or something far more sinister!
I assume you're joking about the timeframe! 3900km in a day would require a constant speed of 162kmph, without a single refuelling stop or toilet break - it's a big ask :)
I had to organise a similar route a while back for Madrid to Skara Sweden, Viamichekin was good, but I had to copy and paste it to Word to cut down on the size of the printout, and I completely got rid of the first 3 pages which took me to the French border, which I knew anyway.
Best of luck!