If your tikka barrel is like mine was it won't need much cleaning!
The big concern is moisture, like bringing a cold rifle into home and condensation forms on it and the bore.
I run a loose patch through to remove any damp fouling after a few hours. As you know, there is no coating of bullet lube protecting the bore like a rim fire.
If there is a moderator store it muzzle down. Moderator's are water traps, from the combustion and rarely get hot enough to vape off.
I like the Forrest foam for cleaning the bore of copper fouling.
Externally I use my black powder patch lube. Cand