Probably I'm late to the party, but try your best to make a transaction with a signed user @bitmover. That will enable you to also have a elevated account limit[1] on the payment method that you've used, which in turn will allow you to buy more bitcoin per day. However, as others mentioned, there's limits on the amount that you're able to buy, which is directly tied to your payment method - see here[2] for more details.
As for fees, it's a matter of timing - I know of cases where users were able to buy bitcoin with a rate bellow the market value (biggest I know was of -1,5 %). As long as the fee is within the price you're willing to pay, getting KYC-free bitcoins never gets old.
[1]
https://bisq.wiki/Account_limits#How_to_get_an_account_signed[2]
https://bisq.wiki/Payment_methods#Fiat_payment_methods