Been driving School Buses longer than I'd like to think. School Buses don't ride ANYWHERE as nice as a Georgetown, so count yourselves lucky.
School Buses are a bit longer than Class A motorhomes, but that's not the issue for keeping them centered on the road.
Best tip I can give anyone for centering your rig............look way up the road........as far as you can reasonably see to guide you to where you WANT to be. Looking at points close to the windshield for positioning will have you constantly making mid-course corrections all the time.........very tiring and very jerky.
Look up..........look way way up. It works. And I'll bet my passengers are noisier than yours.