Well, not clear why you cannot use the OpAmp circuit then.
It will be a CMOS LNA if you use a CMOS OpAmp which is designed for low noise. And low noise design mean you set its operating current high basically, then with AC noise simulation you can show to your Prof it is really low noise and an amplifier. Voila.
The OpAmp circuit will also have NF,IIP3 and matched in/outputs like at any CMOS LNA in the GHz range. If you would like play with S parameters you can do that too, but it really makes no sense under 10MHz.
I recommend you to design the simplest OpAmp, from 5-8 transistors you could. There are a lot of tutorials and it doesn't matter too much that you use integrated or discrete MOS.
Or if you still stick to a 1-2 transistor based single ended LNA then the keys are the noise, linearity and gain calculations, and you have 2 options: common source amplifier or common gate amplifier. You can find all and more about them in B.Razavi: Design of Analog CMOS Integrated Circuits + RF Microelectronics (2nd ed.).
Probably you have to build your circuit, so be smart and avoid inductors in this frequency range. It will cause pain if the amplifier works only in simulation because the preferred coil doesn't exist.