No, thats not really how it works out.
Baseload should actually be called baseload demand. The idea of baseload demand, is that there is some minimum level of electricity, that will always be demanded, almost no matter how high prices go.
Or, in other words, there is some about electricity demand is very inelastic.
So no, you can't just increase electricity costs. Because then electricity costs will massively spike, and cause huge amounts of problems.
You are massively underestimating the amount of problems and costs that it would put in people for demand to be as elastic as you want it to be.
It would be way cheaper and better for everyone, if there was simply enough baseload supply to meet the baseload demand.