If I may, I would add some points to your design:
1. Using a LNA at frequencies below 30 MHz makes no sense as the galactic noise is very strong, so the background noise in the receiver is not defined by the thermal noise but by that external noise.
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Thanks jiripolivka, I understand. That had been mentioned in an earlier thread also. I will have a later need for a similar circuit inside a faraday cage a stimulated ring of magnetic material that will be stimulated at its ferromagnetic resonance frequency, adjusted with static magnetic field bias. I am planning experiments with recieving signals in what is normally the null direction of the magloop by a similar magloop in another faraday cage. I'm expecting I may need the extra sensitivity.
My hypothesis is that magnetic field energy is radiated in the null direction and can still push and pull on precessing electron spins even though the flux direction is in the propagation direction so does not cut across conductors (faraday cage walls) so does not induce current flow. Still with a tuned sample of precessing electrons, it can pick up the signal even within another faraday cage.