To specifically measure the uranium concentration in a sample, you have to use a alpha spectroscopic method that can distinguish the 4.26 MeV alpha decay of U238 from all other daughter product or other nuclides. Unless you already know a-priory that your samples contains mainly U238, SSNTDs will show you tracks from a lot of other isotopes apart from U238. Also, since U238 has such a long T1/2, I think you will have to be very very patient to ever get a track from a U238 decay. it is more promising to try liquid scintilation counting. Here, you can accumulate the alpha decays over a long time, and you should get a good signal for U238.
Many reports are available on the the Uranium concentration by using SSNTDs.
Three are attached;
SALAMA et al., Determination of thorium and uranium contents in soil samples using SSNTD's passive method. Pramana, J. Phys, 67 (2) 2006, 269-276.
M. Fahad., MEASUREMENT OF RADON EMANATIONS FROM PHOSPHATES AND CONVERSION FACTOR USING POLYCARBONATE DETECTORS. Phys. Chem. News 1 (2001) 87-89.
Shafik S. Shafik, Aamir A. Mohammed., Measurement of Radon and Uranium Concentrations and Background Gamma Rays at the University of Baghdad -Jadiriyah Site.
International Journal of Application or Innovation in Engineering & Management (IJAIEM) Volume 2, Issue 5, May 2013.