Hi Sarma,
I had at hand FT240-43 (a bit bigger than FT37-43 but the same material). With 15 wounds of CuL 0.25mm on that core, replacing resistor with the choke, clicks were ALMOST gone, but not completely while with 3x10 Ohm (cca 3.3 Ohm) clicks are removed completely.
Now, based on that specific choke should have had some 240uH which on 7MHz represents 10K reactance, far more than my 3 Ohms and yet it is still not removing clicks completely, indicating that clicks are not HF in nature. Choke having 240uH would have reactance in the range of few ohms only in the Audio frequency range. This does not necessarily mean that clicks don't have any HF component, but even if they do there seems to be an AF "signal" imposed on top of possible HF (if any) which is finding its way in to the AF amplifier through the power line.
So, following the "low cost yet functional" approach, I'd still opt for a simple resistor.
Jerry,
I wouldn't go as far as 47 Ohm b/c voltage drop I've measured was taken in "steady" state. When Arduino Nano CPU kicks in as we move the tuning pot, driving the Si chip to shift the frequency and also updating LCD, current could increase significantly above the calculated 75mA in a short burst (which is probably generating clicks in the first place). Significant capacitance (eg. 1000uF) after the choke/resistor shall provide for that increased need for a short while, but increasing resistance (unless inductive choke is used) might also lead to instability of Raduino board and we certainly don't want that, it's already working as is (and I haven't noticed overheating of 7805) even if with clicks.
Darren,
People are different, those clicks were pissing me off quite! :) So if you do decide to try it out (as it takes just a single resistor and capacitor you might have at hand), and I'm inclined to believe that capacitor does not even necessarily have to be located on P3, perhaps it could be moved closer to the resistor down the power line and still do the trick, and/or probably be smaller than 1000uF - please do let us know of the result.
73!
Nik, YT5AAA
