Unfortunately, there aren't that many credit cards you can get without a hard inquiry. Some store cards allow this, but that's about it. Your credit score also places you in the "Fair" credit tier, which also limits your business credit card options. Still, you can check out our Editors' Top Picks of the best business credit cards here.
You might also be interested in WalletHub's credit building guide, which will help you on your road to excellent credit. https://wallethub.com/edu/how-to-build-credit/20579/.