Any chance of some pictures, and we can get a feel for how heavily stocked the tank is for fish and plants as that makes a difference.
Do you have any ammonia or nitrite testing kits?
If you can afford it, order a spare internal filter. For your size tank, you can get a Betta 800 internal filter on Amazon and they are quite cheap, quiet and reliable in my opinion. It's bigger than it looks on the Amazon website in the pictures. Or an Aqua Flow 400 internal. Neither of these filters is rated for a 240 litre tank, but they both have enough space for media and power to create a good flow in a 240 litre tank, and help in a crisis.
Where in the UK are you?
Do you know any local fish keepers that might have a spare internal filter, or external, and you can use your current mature media for it
It will also be important to keep your current mature media from dying out. Some on here will say the beneficial bacteria just go dormant and then quickly come back to life if a filter that is not working, but my ammonia and nitrite testing says different. After 48 hours of a filter being off, there is a problem in my experience.
The plants may help save you here, depending on how many plants you have, how healthy they are, and the fish stocking levels.
I will wait to see what you come back with before offering any advice on water changes.
One aspect, is making sure that the one airstone is doing a good enough job of agitating the surface of the water, but Fish and plant stocking levels are also needed here.
Also, the behaviour of the fish will give you clues. Any of them gasping at the top? Do they look like they are breathing normally, or a higher rate of respiration?
Do you have a water conditioner that removes chlorine and chloramine?