The link takes you to Jubilee Drive..Handsworth, Brum.........possible not the lovely driving experience that was recommended! Try searching for Jubilee Drive Malvern, that will pick it up.
For a longer drive, I'd drive over from the factory to Powick and take the A44 towards Bromyard for the taste of a nicely twisty well surfaced A road, possibly stopping for lunch or morning coffee at The Talbot at Knightwick and up the twisties onto Bringsty Common. If you don't mind an unsurfaced road, there is a lovely refurbished 300 year old pub, "The Live and Let Live" off to the left of the main road up on the Common, with lovely views out towards the Malverns. As you come down off the Common, I'd take the B4220 back down the west side of the Malverns to Ledbury, a lovely old town of timbered buildings and then A449 back to Malvern where you can pick up Jubilee Drive at the top by British Camp and then down back into Malvern. That will give you a good taste of Morgan friendly roads and some lovely scenery.
PS. The advantage of that route is that if you get halfway round and have fallen so in love with the Morgan that you will put an order in for one when you get back to the factory....you can continue along the A44 for a couple of miles more and pop into Holdens just before Bromyard where you can buy some lovely sheepskin flying jackets, helmets, goggles...the lot!