Alcester to Evesham & Evesham to Alcester.
There's a lovely fast non-stop dual carriageway 90% of the distance.
The idea of the Mesh rides (as with any other audax) is that they should be ridden on a bicycle, and not a motorbike or car. Few (I was going to say "no", but there are one or two) cyclists would willingly choose to cycle along the A46 dual carriageway between Alcester and Evesham. Or for that matter the A435 northwards, which while not DC until north of Studley, at Mappleborough Green) is nevertheless a fast (despite the speed limits!) and unpleasant road.
The old A435 between Evesham and Alcester (now A4184 north out of town to Twyford, then continue along B4088 through Harvington to Dunnington, where continue on minor road past Ragley Hall to Arrow then cross A46 into Alcester would leave you arriving far less harassed, having passed through some pretty villages on a relatively quiet (and not exactly hilly!) road.
Similarly, exiting Alcester towards Great Alne to pick up the B4089, turning L (actually SA) in Gt Alne and following signs for Wilmcote where either turn L to go into Stratford from the N along the A3400 (not a great entry to the town) or continuing, to turn L later (by the Billesley Manor Hotel) to enter Stratford from the W might be a little further than blasting down the A46, but is far more pleasant. The biggest downside is that it extends the route a little too far if you want to include the charming village of Aston Cantlow