Why would you need to pay cash with that arrangement?
If they are below VAT threshold you wouldn't be paying Vat whether cash or not.
TBH it's not difficult.
Tradesmen want cash as they are not going to declare full payment on the job.
They will likely declare something as there will be a garage door to account for.
I paid a grand cash last week for tree work in order to get a better price.
Makes no odds to me as it happens all the time and I'm not making a one man stand against it.