Ring 111 when you think you have symptoms. I know there's been different responses from them (good and bad) but at least you can say you followed their advice should you recover.
I know you said 'for what might end up being fuck all' but is it not better to be safe and sorry? Instead of going in, with the virus and no symptoms, and potentially passing it on, you could stay home (as boring as it may be) be clear for 2 weeks and be confident you don't have it and won't pass it on.