If you are leaving Morgan then drift right and head for mid wales. Sure there arent any motor museums but what there are is relatively empty roads running through beautiful scenery. England is a small country with lots of people so some of the suggestions made above will land you in heavy traffic or even worse on a motorway! You dont want that.
Plot a route through Builth, Talgarth, Raglan
If you can make it, the on the 5th June there is a hill climb meeting at Shelsley Walsh which is near Malvern. Shelsley is the oldest still operational race track in the world allegedly. You can wander round the paddock talking to drivers and looking at cars. I'd be surprised if there werent any Morgans racing. Link
here