Actually I do not know what do you mean by your above sentence, I had no such a problem when changed the op-amp to inverting, and of course I did not need to use an resistor across the input resistor in inverting op-amp, mode?!!
Why and when do we need to bias (DC bias do you mean?) the inputs of an op-amp???
I Know how to bias an op-amp to work as an amplifier in inverting/ non inverting mode:
https://www.elexp.com/t_gain.htm
But to remove any DC offset in the input (for instance the dc bias of an electret mike) I just simply add a capacitor in series with the mike and the input of an op-amp whether it is in inverting or in non inverting mode. So I am not able to understand what you mean by input bias current which seems to be something like DC biasing transistors??