If your company Mac is locked down to the point where you couldn't just create a separate account on it that is tied to your iCloud account, then it is also unlikely that they would allow you to hook up another device to their network and your work computer in order to have this convenience.

(My partner is corpo; I'm startup, but have worked at corpos. No thanks.)

Better to keep it all owned by the company, in my opinion, and have them issue you an iPad for this express purpose.