I have a lot of really good things to say about the Franchi Affinity that I purchased last year, but the simplicity in cleaning is right up near the top. Following not having to clean it regularly, like I did with my SX3.
I will do a deep clean after the season closes, but so far this year, I've taken the barrel off once and the bolt assembly out, just to make sure it wasn't super dirty (more of a self assurance thing than a cleaning), otherwise, I sprayed a bit of lube on it before headed out last weekend when it was cold (by my standards, anyway).
Regarding the full deep clean, I don't mess with small springs. It's a rule. For the trigger assembly, I do the same as Remy. Blow it out, pick out any debris with tweezer or q-tip. Otherwise, I take the rest of it apart and give it all a good wipe down and re-lubrication. Best of luck!