Just want to share how I resolved the problem:
Now I can measure refractive index using something called Dispersion Staining microscopy. This is a microscopy technique often used in geology to measure refractive index of minerals. On this video, I do it for asbestos fibers:
http://www.youtube.com/watch?v=wEf9-lsxVvQFibers have refractive index of 1.55. the same as oil used in this test. If refractive indexes are the same, under "dark field" condition the sample has purple or magenta-blue colour. If the difference between RI of oil and of the sample is more than 0.02 the sample turns white or yellow. I tried on a few polymers and it worked fine. But is takes a lot of time, because you basically need to try different oils with known RI before you match the colour to magenta.