If you’ve been refused a business account, it’s worth re-visiting your preparations to make sure you have all your finances and documentation in order. This includes making sure your business is registered, that you personally are on the electoral roll and that you’ve done all you can to improve your credit score. As mentioned above, if you haven’t already, you could consider approaching your existing bank to open a business account.
There’s also the option of going to a business account provider that doesn’t carry out credit checks at all, but be aware that the fees associated with these accounts are among the least competitive out there.