Test no ester can last longer than we might think. I waited 5 or 6 days and still tested at 1500 plus. So I guess it depends how long you have before testing. Not sure what the testing standards are for your situation, so I don't want to steer you in the wrong direction. If they are testing your test levels, you would wait to a couple weeks before testing. If you have that kind of time, you can make some good gains on TNE. I would suggest ED shots, 50-100mg, taken 2-3 hours before training ideally. You'll also want to take some arimidex for estogen control. There is a lot of conversion to estrogen. So I'm not sure about adex in your testing either. As for fat loss, you'll really want to focus on estrogen control with TNE. Estrogen is an enemy of fat loss.
When you finish the cycle, you'll want to run a solid PCT, either nolvadex or clomid