I wouldn't take the risk if your land is bg free. However would there be the option to set it up so you supply them with straw and take it back as muck? That way you know what you're getting. Obviously there's logistical issues with straw and traffic over land is not ideal but given the choice between dealing with a bit of compaction or potentially introducing bg I know what I would prefer.
i already do some muck / straw swaps but this is additional and in this case not an option