The assay can be done by MTT, LDH, Alamar Blue and others. Normally, you should perform at least 2 of these because most of times, you have some absorbance influence of the nanoparticle. You can also use primary cells instead of this epithelial cell lines. Maybe, the attached paper can help ypu.
What kind of nanoparticles are they - metallic, polymeric, SLN, liposomes etc? Several literatures have different techniques to determine cytotoxicity of drug loaded nanoparticles depending on their type. The above papers are good one.
Currently in my projects i'm focusing to develop Nano particle based drug delivery systems,targeted to detection of cancer cells,Photo thermal therapy and photo-catalytic therapy.