Some of the most trusted and most used sportsbook websites on this forum are Sportsbet, Fortunejack, Stake.com, Betnomi (they may ask you for kyc at some point).
All the sites that you mentioned are popular ones, but they invalidate one of his required conditions which is limits basically. All these books usually limit their winners after a couples of big wins in order to stay in business. This is why I recommended Fairlay where this will never be an issue.
Also, they might ask KYC under suspicious conditions only which is why this shouldn't be an issue for him.