I would go back to asphalt.
One nice thing about asphalt is how easily the snow melts on a sunny day.
Concrete is hard but brittle. Cracks are common. Your taxes will go up with concrete since it is supposed to be permanent.
The other big issue I have with concrete is what has happened in my subdivision. Our subdivision is about 10 years old and most homes are less than that. Most have concrete and MOST have problems.
There several different contractors that installed the driveways (homeowners chose who they wanted.) When the driveways started having problems (like cracks) the contractors all blamed the suppliers of the concrete and would not warranty the driveway!!! Several of the homeowners sued and ended up in court.
In my opinion the concrete contractors could careless and were a not willing to do anything.
Ask your contractor who is responsible if the mix is bad? And most importantly who will be responsible for the labor of removing the old and reinstalling!!!
They buy the product, but you are screwed if what they bought is bad!
Like my friend in the business told me years ago about concrete, it will get hard and it will crack
For the driveway itself, there are several reasons why I would go with asphalt. 1. It's cheaper. 2. If maintained, it is very durable. 3. Most importantly, it's repairable. We are in WI. Asphalt or concrete, it WILL crack at some point. Asphalt cracks are repairable. Concrete cracks are not. If it heaves, you are really up a creek. I would think oil prices have helped drive asphalt prices down more than concrete, further widening the cost gap.
Whichever you go with, a good gravel base is critical. Get lots of quotes and go with whoever gives you the most comfort. And don't forget to negotiate! The contractor I went with gave the most impressive and comprehensive bid. Plus, they where the cheapest. I still got an additional $250 off simply by asking if they could do any better.