Apologies, but I am currently knee deep in sushi and shrines on the other side of the world in Japan. I will be back to the usual tea and crumpets when I return to the office on [DAY OF WEEK], [DATE]. If you have an urgent query about [BUSINESS] before then, please don’t hesitate to contact [NAME] in my absence. [EMAIL]. Thanks so much.
Something that actually was an issue with my employer ages ago: at one time there was a policy that out of office would only go to internal people, and nothing would be sent at all to anyone external. Apparently this was felt necessary in order to mitigate risk of burglary, so people wouldn’t know that “John Winchester has gone on a hunting trip” and that his house was empty.

But this absence of basic travel cybersecurity is a problem. Email is the number one threat vector for socially engineered attacks. An automatic reply message not only sends the information to designated contacts, but it also bounces back to people who send phishing emails. Threat actors use any details found in OOO messages to craft targeted social engineering messages. Well-targeted messages build trust that threat actors take advantage of.
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.