After all, a professional voicemail recording boosts your credibility, makes you seem more competent, and encourages whoever's listening to it to continue the relationship.
As to who you choose, you might consider listing a coworker, your supervisor, or an on-call number if available. Just make sure to clear this with whomever you pick as a support person so they’re aware they’re backing up your calls and emails for emergent situations.

As with all winter breaks, but especially in a longer break, division and department leaders are responsible for ensuring that external contacts are aware of the closures and as appropriate salaried staff are performing services as necessary to meet the needs of the community during the closure, including checking email/voicemail and responding to time-sensitive matters.
Earlier this year, British comedian Steve Coogan underscored a growing trend to rethink the OOO when he used it not to advertise his own absence, but rather the return to our screens of his blazer-clad alter ego, hapless media personality Alan Partridge. Written in the broadcaster’s inimitable voice, it had stern words for anyone who dared email him: “I’m not in the office so both cannot and will not respond to your email,” it began. “If your email is urgent, perhaps you should have tried calling instead. The very fact you were content to type out your query long hand and settle back to wait for a reply suggests you can wait, even if you’ve put a red exclamation next to your email to make it stand out in my inbox. Won’t wash with me, that.”