Do you have a sketch or picture of exactly what you want?
I was with you until the "trolley 12' out" part. I want to make sure we're seeing the same thing.
That will be a cantilever off of the beam?
I think that cantilievering 12' off of a WF spanning 52' is not practical. You'll need some way to resist the torsion in the beam.
I can, and will, gladly size the beam for you, but what I'm saying is that for a beam to span 52' and have a 12' outrigger is not realistic. The angle of twist induced in the beam would result in so much deflection at the tip of the outrigger that it's not practical. I'm sorry you're not happy thus far, but based on the description provided it's difficult to say more. I can size the beam assuming no torsion and you will need to determine how to resist the torsion or have two of the beams some distance apart so it imposes an up/down force couple instead of torsion.
Also, I'm not 30 years old and my age has nothing to do with this. I will request a refund for you. Good luck with your project.
I apologize for the delay. The question was locked for several days. Let me know if you would still like help and I will get the size for you right away.