Using my spreadsheet i come to 64F and 49 back, and I use my own formula that gives a bit lower pressure then linear math. This is higher then your linear math because I add 10% reserve to the load first.
These pressures wont give damage to the tires, assuming your given weights are right, and thats the tricky point here, but you realise that , I make of your story.
The tires stability is yust how you feel it, a little swaying wont say that the car is dangerously unstable, is my opinion.
Nowadays cars are made that stiff, that we have gotten used to the discomfort, wich a stiffer tire gives, but before 2000 the tiremakers also gave minimum advices.
Here a picture of the spreadsheet but will also give the link to the map where you can download the spreadsheet, search for 4xMike,
Then you can chanche things or add in dark blue the GAWR's and to use reserve % , wich is now set on 10% standard.

Now the link to the map.
The examples map with the spreadsheet 4XmikeRVetc.See what you can do with it.