In my opinion, it's really up to you. an electric car would add another layer of complexity and potential limitations on your trip. If you're OK with that, then you should be fine. But stick to major roadways and larger towns that are more likely to have charging stations.
If it were me, I would lease a small to medium sized diesel car, such as a Renault Clio or Megane. Before moving to France several years ago, we leased through Renault for a 6-week visit and it was pretty much completely pain-free. Everything was as represented to us, and there were no hidden fees or "gotchas" even after I backed into a stone wall and broke the taillight on the passenger side of our Megane. Upon return of the car there were no questions, no comments, no extra cost -- it was covered by the insurance.
I feel I should provide a bit more information in light of a previous comment.
There are far fewer diesel cars in France now than there were 5 years ago. The government has plans to eliminate them and diesel fuel now costs more than does gasoline.
The first part of that is not really accurate and the second part is definitely incorrect.
Regarding the preponderance of diesel cars in France -- the majority of cars still are diesel. In particular, the fraction of private French cars with diesel engines peaked in 2014 at 62.4 percent of the total fleet. Since then it has dropped slightly over the years to 57 percent (as of 2020, the most recent figure I could easily find.
Why do the French like diesels? They're cheaper to run and the French love to save money on things. They're cheaper to run because they get much better mileage (kilométrage?) than gas engines and because, despite what is asserted above about cost, diesel is consistently less expensive than gasoline.
That link is to the official French governmental website on Prix de Carburents (price of vehicle fuel). You can check for yourself, but just looking at a few fueling stations in my area of the Cotentin peninsula, Manche, Normandie), and including a few from Bayeux since you mentioned going there, in every case the cheapest gasoline (SP95-E10) was more expensive than diesel (gazole) by an average of a bit more than 8 percent.
A last hint if you do end up renting or leasing an internal combustion engine car: the autoroutes in France are really nice to drive on and, based on my most recent experience in the U.S., far better maintained than U.S. Interstates. And the rest stops (aires) are convenient and generally nice.
But don't buy fuel there unless you must. The fuel is much more expensive than at a supermarché or hypermarché. For example, picking an aire just outside Lyon heading to Paris on A6 (since you mentioned doing that), diesel is 0.175€ more expensive per liter and gasoline is 0.187€ more expensive, compared to the price at a nearby Carrefour Supermarché.
That may not sound like much, but keep in mind that filling up a near-empty car takes a lot more liters than it would gallons. For example, when my little car is running low, it can easily take 45 liters to top it off. That means, if it were a diesel car (and it is) it would cost 7.88€ more to fill up at an aire (8.42€ for gasoline), compared to filling up at a fueling station off the autoroute.
