What are your settings on the SSii? Specifically 't', outL & outH. Were you running the SSii on auto or manual?
I have an SSii running my ProSmoker 100 great, but need to adjust settings to have the Stoker/SSii combination work without big temp swings.
I've only had my Stoker a few weeks and have had the same problems you have with dropped connection. My router has assigned a new IP to the Stoker in the middle of cooks twice, so I'm going to try to set up a static IP, I may have to rent a teenager to set mine up.....let us know how yours works...