Hi mvalcourt,
Regarding VTP feature is not supported on Sx300 and Sx200.
Regarding the inter-Vlan routing (IP routing) if you have already the SF300 on layer 3 , ensure you have a trunk port between two switch and adding all vlan (199,200,220,221 as tagged) on both router
also make sure you have the PC connected to the switch has Default gateway the IP address of Vlan interface where connected to.
Please if you have still the issue please share the config file, or you can also call Small Business Technical Support and open a ticket.
http://www.cisco.com/c/en/us/support/web/tsd-cisco-small-business-support-center-contacts.html
Thanks
Mehdi