I don't think your idea would work.

Many chargers don't balance the cells in the storage mode, and just bring the voltage back to approximately the total of 3.85 per cell, so 11.55 total for a 3s. Unless the charger does balance in storage, then they'll be slightly off from each other based on the resistance of each cell.

If your batteries are coming off in that voltage range they should be fine to store and then just balance charge them next time you use them.

Might be easier just to get in to the habit of storage charging? It doesn't take long especially if you run the batteries down to slightly below the storage voltage, then the charger can bring them up to voltage quickly. If the battery voltage is above storage voltage it will usually take longer to discharge. If your ESC allows you to set a custom lipo cutoff voltage, you can set this to 3.8-3.85 volts per cell and then you'll know they're close to storage voltage when the cutoff kicks in. If you've been running them hard, the voltage can recover slightly after a run so you may need to experiment with setting the cutoff a little lower to compensate for this.