Let’s just be clear. The vast majority of research done by NSF and NIH is not connected to evolution. So evolutionary scientists have to compete with other fields to get access to these funds.
So what? I run publishable simulations on my laptop all the time. What research does he want to do that he currently cannot do due to funding constraints?
They can certainly pursue their research openly. They can even openly state their YEC beliefs, and that should not be a criteria used to reject a grant, and it is not. There is no component of the evaluation process that considers a scientists personal beliefs, even if they are publicly stated.
I expect also that a well designed study by a YEC, for example, into polonium radiohalos might even do quite well at the NSF. There is no reason a good study into this question would need to even make reference to YEC. This, of course, is pretty important to YEC science, so this is an example that might blur the lines a bit.