About the diodes and resitor:
Start with 1k, not 10k. Because of the wires a lower value is better.
Use 1N4148 diodes, not 1N4007. Those small 1N4148 have less capacitance and are more robust than you think.
The 1N4007 are good for 50/60Hz rectifying, and nothing else.
Is that 70 inch/feet/meters/spitting-distance/steps ?