Earlier quoted context omitted.
Declare your billable rate in the counternotice as $1000/hr and use that as a basis for compensatory damages.
IANAL - but it seems unlikely that you can just claim an arbitrarily large hourly fee. Wouldn’t you need to justify those costs in some manner?
When the President got his legal fees paid by Stormy Daniels, his most expensive lawyer was charging about $850/hour. The judge cut it back, not because the lawyer was too expensive hourly, but because he felt the lawyer had billed too many hours.