These trips are difficult to plan. The following advice is offered in the spirit of trying to help you have the best experience.
In my opinion, 4 to 5 cities (large enough to have night life), in the number of countries you mention, in 7 to 10 days, is going to having you rushing around so much that you won't have time to savor the experience in the way you want.
Transportation times in Europe are significant, when you're trying to see 4 to 5 cities, in different countries, in that period of time. Transportation times need to be factored into the number of destinations and number of days that you have.
You specify: "Surrounding scenic drives to venture out during daylight."
My thought is that having a car in the center of some large European cities is an unexpected hassle because of difficult parking and traffic congestion in the center of European cities.
You also specify that you want to enjoy the nighttime hours, which implies you would be in the centers of some larger cities. If you can see where I'm going with this, you may have some partially inconsistent objectives: large cities, with a car, so that you can enjoy scenic drives in the country, in a limited amount of time.
I would recommend reducing the number of cities, and/or the number of countries; or increasing the number of days; and also carefully selecting hotel locations where having a car in a city location will add to the enhancement of your experience rather than detract from it.
These trips are difficult to plan. Don't hesitate to follow up with other questions if you need to.