That makes sense.
I would max out your withdrawal limits on Coinbase Pro. They should automatically raise them after that. I've never used them to "trade" really, mainly just as a fiat offramp. My experience was that they automatically raised my limit to $50,000/day after I had made a few $1,000-$5,000 withdrawals.
I'm already up to 10,000 on Coinbase Pro. I think I can sell the limit of a 250,000 bank wire on Coinbase. I bet their will be problems.