Finding childcare during hospital stay

Hey Parents, 

We're expecting a baby in Feb and our plans to have grandma come stay with us/help us with our two older kids (and everything that comes with it) for a few days while we're in hospital have fallen through. We're having a hard time finding a back up plan and are looking to hire someone but that has proven to be a huge challenge. We have friends/some family here but no one with lives they can step away from spontaneously for 2 or 3 days (which we get). The search for help continues, but if anyone has some creative ideas, we could really use some advice. We've been scouring BPN, Care, Sittercity, asked at our kids' school, spoken with two nanny agencies, posted online (here and elsewhere) and even started looking into night doulas. Nothing is sticking. Ideally we'd like to find someone who can stay on as our part-time nanny (and start before Feb so our kids have time to acclimate) but at the very least, we'd like to have something squared away for when this baby comes. 

Thanks in advance for any advice.