I would suggest TWO sets. Get the REPOP vintage tires and mount them on your date coded matching original born with rims. Then mount your radial shoes on the spare set of rims of your choice (DAY 2 maybe?).
Have both sets avail for their appropriate jobs.
Others have mentioned the pros and cons of Bias ply tires.
If you can swing it build two sets.
I think the proper tires will look VERY nice on your Blue Car, regardless of how cruddy they handle, just keep that in mind when driving on them.
These cars just LOOK right with the skinny's on em!
Jim