Sydney - Canberra

Possibly asked and done a thousand times but I’d be looking for a route for a 2 days ride to Canberra. I’d like to avoid the major highway and would be looking for a place to stay midway (a nice Pub would be prefered). Not that it really matters but I’d be doing that fixed, so 2hrs climbs are to avoid as well if doable. I plan to start from Campbelltown to get a bit of a head start.
If anyone is interested to join I want to do it this month, take a Friday off, get to Canberra on Saturday night and head home by car on Sunday.

Suggestions are more than welcome.