Tell 'em you are taking the compost with you. That also may make them think twice!One thing I do recommend is contacting your agent and having them ask the buyer if they want you to leave the compost first. If you label it as compost, they may be very willing to ignore the recommendation by the inspection. Another thing you can do is go on social media and offer free compost to friends, neighbors and family. I did that with a massive 5' pile of compost.
How I got rid of the chicken run bedding was I first ran it over with a lawn mower to break up the large straw bits followed up with one of those 100$ small tillers and then I spread it around the landscaped areas. It looked like mulch to most people. Good luck on the sell!
Or -
Take down the run fencing. Mow it. Till it. Mulch it. Plant it with a few nice flowers or veggie plants. It's now a garden!