[morzh]

Well,

I suspect if it works, the coil will still need adjstment.

Thing is, the coil in question is a part of the first tuning resonant tank. So the inductance of it is important.

Now, the formula for cylidrical coil involves:

1. Square of the number of turns (so it is the most important) and this is what we are guessing.
2. Length of the winding. This we also do not know.
3. Crossection area of the bobbin. This we know.

So, first order of approximation is, I think, OK, but then it will need some adjustment.