After reading your post...I decided to run some SPICE simulations of frequency response and changes in R1 and R2. Results are shown below. Based on this I will likely raise R2 to 100K and leave the jumper J3 out for most uses.
Hello,
I would not believe the theoretical ideas of someone who most probably never built a LNA.
(at least not here in the forum).
It needed me several weeks of my hobby time and 5 designs until I had a LNA that works.
(ok I had no experience in this field).
In the first designs I had some strange noise effects that where only
visible if the noise of the source was above a certain level.
If you increase R2 you will also increase current noise of the LT1037.
So you will definitely need a different OP-Amp with lower input bias current.
See Design Notes DN3, DN6 and DN140 of Linear Technology.
And if you really want to leave the protection (J3) off you also have to think about to increase R4 above 3-4K.
(since input protection diodes effectively short the input to R4).
Note: I managed to find non-polarized electrolytic capacitors for the 1000uF and 2200uF coupling capacitors (Rubicon I think).
Do not forget to select the input capacitor for low leakage current (with maximum used input voltage active).
I fear that bipolar capacitors will have more leakage current than unipolar standard 85 deg C types.
(But you will shurely measure it and report here).
With best regards
Andreas