Hi,
Don't know if I'm too late with this, but there are laybys each side of the A453 between Donnington services and M1, jcn 24.
These are usually well used by trucks, so would normally be quite noisy, although over Easter weekend they might be less so.
An alternative would be to check this website for Leicestershire. There is only one currently shown under Loughbro and this is about 5/6 miles from M1 jcn 24, on the A6. That ought to be quieter, although it is slightly out of your way.
Mick H.