The answer to this is a little bit of fact and opinion. You’re not going to be able to have two different computers, regardless of Mac or PC, run the same session with plugins running flawless because, well, they’re two different computers, in short. Two loopholes that could work
1. Save and run your plug-ins off of that same portable hard drive you’re running your sessions off of, that way there’s one consistent “device” between your two machines
2. Print stems, if you don’t already. It’s a hassle to go back and forth when you gotta make a tweak, but print to a blank track and then disable the plugin track, saves you some cpu power as well.