Such a reaction will lead to large losses of HNO3 acid due to the formation of poorly soluble calcium sulfate. Even with vacuum filtration, a lot(!) of acid will remain in the gypsum.I have not tried it so don't take this for sure.
How about mixing the Sulfuric and water and then adding the Calcium Nitrate under heavy stirring?
Would that be a possibility?
Without distillation, the result will be a 20% nitric acid maximum.
It is much more profitable to use potassium nitrate and concentrated H2SO4