David Day's map is widely regarded as one of the worst examples of Arda. His work is often criticised in the Tolkien community. Your best bet is to stitch together a number of maps.
One map superimposes a sunken Beleriand on to Western Middle-earth seen here
The rest of Middle-earth can be seen here:
A map of Beleriand which was drawn by Tolkien:
As far as I remember there are no good maps of Arda that include Aman. I can't of the top of my head even remember if there was a map of Aman drawn. Outside of Tolkien's own drawings the Atlas of Middle-earth is probably your best shot.
As @Joel pointed out resources on Aman can be found in the Atlas of Middle-earth, it's not cannon but apparently very good.