Difficulties sending money to crypto exchanges

Any recommendations to send/withdraw fiat currency to crypto exchanges?

After examining our various banks' T&C more closely, using them to fund crypto purchases is expressly forbidden. Something along the lines of:

"You may not use our account/services to buy, sell, trade, or transfer crypto / to or from crypto exchanges."

Furthermore, the banks that are more permissive to transfers to crypto exchanges tend to have higher stated fees or hidden fees (in spreads). Conversely, banks with very low fees tend to forbid crypto. Presumably because those fees pay for higher AML/KYC checks?

Any tips on finding banks which are friendly towards crypto? Are they generally smaller banks? Or newer banks? Or big banks?