Arterial blood gas. Calcium score (may not count as a lab). Skin biopsy for cancer (does it count as a lab?). I'm unaware how to order my own troponin if I think I've had a heart attack (not that that's one I should DIY diagnosis). Prostate specific antigen.
Several of those are more procedures than labs. Of course you can't get someone to do a procedure on you for free. Arterial sticks and biopsies may have nontrivial risks (and commensurate liability risk for the performing provider).
PSA and troponin seem trivial to get. Did you look?