whichever institute has stable isotope facility they may take up your sample analysis on payment basis. For Example, I think NGRI, Hyderabad, Dept. of Earth Sciences, Pondicherry University in Tamil Nadu do the analysis.
I don't know about your place,
please go through the reference for the in formation.
Stable isotope studies you can study in many institute/universities around the world. It wont cost you much. If you have good no. of micro fossil that will be well enough.
mainly use G.rubber, G. bulloide etc.
Hope the following papers will help you for further analysis. Check the methodological part.