We're both deists, by the way. I follow the Flying Spaghetti Monster. However, the FSM is absurd, which means that I cannot use the FSM's existence to conclude facts, and additionally doesn't affect the material universe. Also, the FSM doesn't maintain cults, encourage child abuse, start wars, nor allow simony.
Your "traditional theism" is metaphysically and epistemically weak; it cannot say anything about the world other than that its deity exists and has material affect upon the universe. However, empirically, there is no evidence of the deity (because they are supernatural), and so the deity cannot have any scientific method associated with it. Simply put, there's no room in the natural world for a supernatural being! Every empirical effect is instead considered scientifically.
The only gap left would be for you to show that miracles or other supernatural phenomena are real. On that, I have nothing polite to say, just to wish you good luck on what will definitely fail.