Frank, asking out of curiosity here: did you by chance try 30m with the 20m
position and 17m with the 15m position?
If there is enough C in the variable caps you might reach resonance without
having to add the coils taps. Granted the loaded Q will be higher but at these
relatively low frequencies (compared to 10m) might work ok.
On the heating effect; it is fundamentally an I squared times R thing. The R
could be higher, the I could be higher or both. I do know that a soldered tap
will be much lower loss than the limited contact area provided by alligator
clip teeth.
73,
Gerald K5GW
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