Hi Dave,
the IP base IOS for the 3560 series supports PIM is stub mode. But I think, it would be better if you get the IP Service license for the 3560,
Q. What are the different types of feature sets?
A. There are three types of software licenses: LAN Base, IP Base, and IP Services. LAN Base is only supported on the Cisco Catalyst 3750-X, 3650-X, and Cisco Catalyst 2K switches.
• LAN Base: Enables basic Layer 2 forwarding and IPv4/IPv6 switch management.
• IP Base: Enables Layer 2 forwarding, IPv6 management, and basic Layer 3 routing, including Enhanced Interior Gateway Routing Protocol (EIGRP) stub and Protocol Independent Multicast (PIM) stub mode.
• IP Services: Includes IP Base and enables advanced IPv4/IPv6 Layer 3 routing such as EIGRP, Open Shortest Path First (OSPF), WCCP, VRF-lite, PBR, and IPv4 multicast routing.
Also, have a look at figure-1 in this link:
http://www.cisco.com/en/US/prod/collateral/switches/ps5718/ps6406/white_paper_c11-579326_ps10745_Products_White_Paper.html
HTH