You could get a dedicated server at an unmanaged place and hire a server admin. The cheapest I found was FastServerManagement.com at $30 a month and that is if your server is running CPanel. The CPanel license will usually run you $20/month.
Overall you must be very clear what "managed" means when you sign up. Ask what it includes. If it is just applying patches and updates, big woop since this is a completely automated anyway. Ones that include a certain amount of security i.e. kernel hardening, firewall, monitoring, penetration testing will cost you.
For doing web hosting research I like to use
http://www.webhostingtalk.com .
-A