Your schematic is nothing more than a ground-referred constant current sink.
The ubiquitous and cheap LM358 can work in your application, if you are willing to change ONE SPECIFICATION: namely the voltage range you require to amplify.
If instead of requiring 30 uV to 30 mV, you make it like 100 times larger from 3 mV to 3 V, you can make it work with the LM358A.
Of course the sense resistor will dissipate much more power, and the voltage compliance will be slightly above 3V.