There are no conclusive tests for celiac disease (at least in America). The best test out there still has a 20% false negative rate. Having a 1/5 chance that you'll be told by your doctor that you're making it all up is what I call terrible odds.
In all honesty you've already taken the most conclusive test available: Stop eating gluten and see how that affects you. This test however won't make your doctor money, it won't make any lab technician money and it won't make any reagent manufacturer any money. If anything it'll cost them money as you'll find a lot less of a need for their services in the future. Surprisingly this test is not fully endorsed by the medical community.
"You can demonstrate the purpose and limits of human digestion with a simple experiment: eat a steak with some whole corn kernels, and see what comes out the other end. It won’t be the steak."