Speaking from experience, your activity is doomed to fail.
Either fix the design pressure to fit inside the P-T limits of the standard, or go up a Class, as suggested by curtis2004. Unless you are working for free, the cost of going from Class 1500 to Class 2500 is minor compared to the engineering costs that are attempting to embark upon.
There have been dozens of papers written on this topic - search for flange design papers presented at the ASME PVP Conference. However, from the basis of your questions, I am going to flat out state that you are not competent to perform this work. And the cost of you finding someone competent (see paragraph above) will be much more than the cost to replace hundreds of these flanges.
Please make sure to show this free advice to your boss.