The Environment Agency is not legally responsible or funded for clearing waste, although it can act in exceptional circumstances, such as when there is a risk of fire.
Archie Ford, who set up the fundraiser, said all the money raised would be given to the farmer with the exception of a 2.9% fee collected by the donation website.
He added he would give the farmer any money that continued to be raised until 18 March, which was the earliest date he could close the online fundraiser.
In a message to donors, Ford wrote: “This could not have been achieved without your help and support.
“Thank you so much again, your generosity has been truly inspiring.”