Traveling on a nanny job

*I ask this assuming the best of the next president*

I recently got a nanny job (it is under the table) and this family is Danish so they will be traveling often. They know my DACA situation but they said they would like me to travel a few times in the coming year. Would I be able to apply to advanced parol by working as a nanny? Say the family writes me a letter would that be enough? Or would doing that just put me in more trouble because the position is under the table? I know this is a complicated situation.

Has anyone been through something similar?

Thanks in advance for any help.

Pretty huge risk

I guess at this point it is more like wishful thinking. But what are you exactly referring to? The fact that it is an under the table position?