Hi Tom,
It looks like support for the 7906 (and 7921) was added in SRST v4.1. Have a look;
The following IP phones are supported by Cisco SRST 3.3:
Cisco Analog Telephone Adaptor (ATA) 186 and Cisco ATA 188 Version 2.16 and higher with Cisco CallManager 3.3 and higher
Cisco SRST supports Cisco ATA 186 and Cisco ATA 188 using Skinny Client Control Protocol (SCCP) for voice calls only
Cisco IP Phone 7902G
Cisco IP Phone 7905G
Cisco IP Phone 7910
Cisco IP Phone 7912G
Cisco IP Phone Expansion Module 7914
Cisco Wireless IP Phone 7920
Cisco IP Conference Station 7935
Cisco IP Conference Station 7936
Cisco IP Phone 7940 and Cisco IP Phone 7940G
Cisco IP Phone 7960 and Cisco IP Phone 7960G
Cisco IP Phone 7970G
Cisco IP Phone 7971G-GE
It also doesn't show the 7906 in here;
http://www.cisco.com/en/US/customer/products/sw/voicesw/ps2169/prod_installation_guide09186a00805f6f1b.html
It does show the 7906 added in SRST 4.1 (See Table 3)
http://www.cisco.com/en/US/products/sw/voicesw/ps2169/products_data_sheet0900aecd805e1e79.html
Hope this helps!
Rob