I agree. Whenever we go for a 3rd carrier, we don't need a nuclear powered carrier as it will be cost prohibitive and also the need for nuclear fuel.
Powering large ships with electricity is the way to go, and the best way to generate that electricity is with a reactor. Without a reactor, a ship as large as a carrier is wasted. It will never be as capable as a nuke-carrier, and it will never be able to use a lot of the tactics that a nuke-carrier takes for granted. No different than an SSK when compared to an SSN.
The only reason we aren't going for one is because the navy is in a hurry and the amount of time they think they have is not enough to build and test a carrier reactor.
When it comes to cost, although the construction costs are greater, the yearly expenditure for operations will actually be lesser. Our main goal for the navy should be to reduce operations cost and make it operationally sustainable rather than worry about initial construction cost. A carrier is not like a fighter jet that's operated in the hundreds, we are only going to have a handful, so long term sustainability of the fleet is much more important.