Samer, I think this would be a kiss of death for your application. Instead,

why don't you ask the Doc if he would like you to go ahead and write the letter and have you bring it to him. He can proof read it sign it and send it on to the proper people.
Alternately, I would ask the guys who don't know you as well, a letter from guys who don't know you as well is better than no letter at all.
It is never a good idea to be dishonest.