I want to determine the relative amount of omental fat to abdominal fat accurately in human subjects and correlate these with a blood biomarkers. Would MRI or Tomography be better for this measure?
It may not be necessary to use expensive, high-tech methods to estimate intra-abdominal (visceral) adipose tissue for the purpose of correlating with blood biomarkers. Consider using a portable caliper to measure the supine sagittal abdominal diameter (SAD; also call "abdominal height"). I suggest that you put "sagittal abdominal diameter into PubMed. You'll find over 100 articles that use the method in this way.
Recent experience in a representative USA population of adults is described here: