You are better off getting the image correct in the camera, and not relying on photoshop to fix color in balances. In this case, it would involve masking with adjustment layers, and all that is very time consuming, when you can just shoot with strobes in the first place. Yes, you can use filters over lights, but the output of most tungsten continuous output lighting is far less than a strobe, and if you put a filter on it, you'll reduce it even further. It doesn't make sense. Just use strobes.
I assume you have a flash meter, so it will be very easy to setup.