Here is a somewhat different idea.
I used this road bike bar tape for a pair tennis racquets, with fantastic results on all fronts: appearance, durability, comfort, control, thickness and vibration/shock absorption.
This tape will not lose grip even in the rain; that would be dangerous (worse than useless) to serious year-round, all-weather cyclists.
It turns out that the two pieces of bar tape, adding up to 215 cm of length according to the package, are quite exactly sufficient to do four racquet handles. I used just one roll for the two, with very little leftover waste: just small trimmings.
Bar tape doesn't, of course, come with a pre-cut tapered end to begin the wrap for a racquet handle; you have to cut that yourself.
I used a staple gun on one racquet to tack down the start of the tape. On the other, I had trouble with the staples not penetrating; I used a dab of rubber cement glue to help hold the tape in place instead. For finishing, I used 3M Super 33+ vinyl electrical tape.
It makes little sense to put anything over top of this durable grip. It is not adhesive, so it just unwraps, and the cost is in the overgrip ballpark.
From the pictures you can see just how thick this is:
Stay tuned for the next installment, in which we mount a Shimano Ultegra road lever with 9 speed indexed shifting, to dynamically select among string tensions.