This is what I'm thinking the one-shot circuit would look like:
Note that the trigger input to the 555 is active low and thus an inverter is required. Here I'm using a FET (Q) for the inverter because its voltage triggered, not current (and shouldn't have any impact on the usage of the signal wire). The one I've found is here:
STQ3N45K3-AP STMicroelectronics | 497-10969-3-ND | DigiKey
According to my (dated 1984) Forrest Mims Radio Shack 555 book (yeah I have a few of these laying around! LOL) the 10M resistor & 1uf cap on pins 6 & 7 should result in a 10 second output pulse (10M * 0.01u = 10).
The 20k pullup on the trigger input is completely arbitrary as the FET can handle way more current than it will ever see in this circuit (regardless of that pullup's resistance).
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