Dan,

If may be worthwhile to wait for rainwater to fall,
make CS, then add to tapwater. Current limitation
could be achieved with a rheostat. A rheostat
resistance equal to the (initial) resistance between
the silver electrodes would provide appropriate
current limitation. An ohmmeter and resistor is not
necessary. Just replicate the inter-electrode
resistance with another cell like the first, except
that it uses non-silver electrodes - copper coins
might do.

Matthew