[Neva]

Get a good blanket and I think you'll be fine. I'd run one if I had some important stuff beside mine like your BMC thurrr or if you want some protection against hood/paint warping.

It'll keep it warmer for longer like nabs said between trips but it's really saving you on a min or idling before driving. As for turning your car off, since oil feeds won't recirc when it's not running, I don't see it giving any advantage to cooling. Might as well just let it idle a bit before getting out.