I spent a few years to actually test the predictions of intelligent design at the present time.
No, because intelligent design doesn't exactly predict the supposed earth-shattering discovery in your paper.
Aside from the methodological flaws that others here have highlighted, the paper doesn't support ID because it doesn't support an actual prediction of ID. And note that intelligent design isn't a theory -- it's a hypothesis. The divide between hypothesis in theory is discussed in basic freshmen college courses.
We asked other conventional research journals whether they accept papers about ID, but they only replied they will neither review nor publish a paper about intelligent design.
Well, you asked the wrong question. Instead of asking research journals whether they accept papers about ID, just go ahead and submit the paper. If it's rejected, editors usually provide a reason why -- beyond just that "it's about intelligent design."
Therefore we have now given up to search for a journal that would accept our paper.
Umm, you're not supposed to be hunting for a journal that would
accept your paper. You should be looking for a journal that would
review your paper.
I also want to warn every scientist who considers to write a research paper about intelligent design to not do so.
I'd be more than willing to write up a paper on some aspect of intelligent design. If it's rejected after peer review,
then there was something wrong with the paper and so shouldn't be in a journal anyway.