I own a private jet, and I am interested in renting the plane to
business jet services for use when I am not using it.  What are my
options to do so?  Are there any brokers that manage this type of
service?  How much would they pay for a Challenger 604?  Do they pay
by hour or use?  Would thy want to use my pilot?

Would a service like this one meet your needs?

"If you're seriously considering buying an airplane, or if you already
own one, our management services will save you from the time consuming
day-to-day operation of your private jet...

Placing your private jet in our charter fleet allows you the
opportunity to significantly reduce your fixed costs.

If you airplane airplane joins our charter fleet, it will be marketed
to top business owners and successful individuals like you.  Our
charter clients depend on us to provide them clean, well maintained
corporate aircraft for their business and personal flights.  Of
course, you can choose who charters your private jet.  You set the
rules in accordance with your goals."

http://www.aviatorservices.com/private_jet_management.htm