First, it is perverse to reject evolution outright. Darwin was largely right, and people who try to reset science to pre-Darwinian assumptions are engaged in folly.
The converging lines of evidence from numerous scientific disciplines point to the fact that we live in an ancient and evolved cosmos that is unfolding according to laws and mechanisms, not the whims of spooks hopping in and out of it from supernatural realms.
So in my view, the intelligent design inference (if you are prepared to make it) should be for the cosmos as a whole (God set up the laws and conditions from the beginning for the evolved cosmos we see). We can then, by science, discover the details of the mechanisms set up. Otherwise, anything goes and science is run into a ditch.
It’s one thing to posit that an intelligent agent set up the cosmos as a whole, and another to posit that intelligent agents (gods, devils, angels, or aliens) jump into the gaps wherever scientific explanation runs up against a difficulty. History suggests that positing such gods in the gaps of our knowledge is not wise.
A god that hops into the cosmos at key moments to suspend or violate natural law, create things out of nothing, and to move things about is a worthy assumption for the 13th century, not the 21st century. It’s not that such an assumption isn’t logically possible–there are lots of things that are logically possible, but not true. It’s just that it kills science to start with such an assumption. It cannot be tested, it provides no rationale (“God works in mysterious ways”), etc.
In critical thinking, there is the concept of abduction. First proposed by Charles Sanders Pierce, it means “inference to the best explanation.” It’s not enough to generate a theory, you’ve got to compare it to all the other theories on offer.
So if you reject Darwinian evolution, how do you meet Pierce’s adbuction challenge? What is your alternative theory that accounts for what we see around us as well as (or better than) the theory that we live in an ancient evolutionary cosmos? Does your alternative theory make predictions? How is your theory tested?
An example of the success of evolutionary prediction is Tiktaalik. Neil Shubin staked numerous of his summers hunting for a transitional fossil between fish and land dwelling animals in strata that evolutionary theory suggested should have such a fossil. He found one.
What alternative theory yields such a striking example of prediction, success, and explanatory power?