According to that - https://support.pro.coinbase.com/customer/en/portal/articles/2945311-limits  you can apply to Coinbase Pro to have your withdrawal limit increased. I'm not sure what you actually have to do. In mentioning how much you plan to withdraw that would also increase their awareness of your account which may help stopping the withdrawal from ballsing up.

10 grand a day for two months would certainly make the average bank shit the bed.

You could look into Gemini but OTC would still be my first choice.