IIRC, the ripcord red is supposed to drop when let down. The QAD was better in that regard by staying upright when cocked manually or upon a slow let down.
Also, if you have that ripcord set up as limb-driven (as described in OP) then something else is terribly wrong.
The ripcord had a good run, and was a fine rest (until it got too cold, when some of them would gum up and fail to fall), but it sounds like swapping to a QAD or other similar cable-driven rest will allow you to do what you want.
FWIW, I also like to draw from my stand every now and then for reasons similar to what you described. My limb-driven Hamskea lets down just like your Ripcord, but a little moleskin on the cutout of my bow riser keeps things silent if my arrow wanders around a bit.