lying= decumbent, recumbent, incumbent
laying=placement, application, apposition, implantation, mounting
... said Google, therefore both are valid. Not being native-speaker I've checked these more than once :)
I agree that there is no room for being bored in one's life, fasting or not.
I feel, though, that the moving regimen you would have during your fast is not applicable for many, especially in a long fast. Also, supervised fasting clinics suggest resting for the most part to help the body direct its energy to what the fast is supposed to do - clean, destroy bad tissues and restore.