I would say it's fine to go away, even abroad, as long as it's somewhere that you can get back from easily.
Also depends on the age of DC, their experience of being away from home, and whether there are any additional needs/health problems.
Choose somewhere with plenty of flights back to the UK - this probably isn't the time to book a break on a remote Greek island with a weekly boat service to the mainland!
And if you have an emergency contact back in the UK that sounds great.