Getting a balance transfer card that offers at least $20,000 as your credit limit is really a stretch. Plus, because the credit limit is established after approval, and based on your income, it's not really something you can easily find.
Chase Freedom Unlimited is a noteworthy alternative. With reported limits of $5,000 and even $20,000, it's usually regarded as the best high limit balance transfer card. The downside is that in order get anywhere near that you need spotless credit, a very high income to afford the payments and low existing debt.
Another solid option is the Chase Sapphire Reserve. This card offers a $10,000 minimum limit (which is close to your goal), but does not have an intro APR period for balance transfers.
Generally, high limit cards aren't that good for balance transfers, or viceversa. Personally, I think it's better to focus on finding a card that gives you the longest 0% APR period on balance transfers, so you don't end up getting interest charges.
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