Maybe you can try Clark Memorial & Floyd Memorial Hospitals? I know Floyd has peds, but I'm not sure about Clark.
I've tried everywhere I can think of. Though since I eventually want to work NICU I'm trying to apply to places where I can transfer into it. I've run out of places in KY to apply for that. The only place I've gotten nibbles from is in Cleveland, OH and San Angelo, TX, oh and Virginia. OH is closer and though it would be very difficult to make the once monthly trip to UK it is doable. But I can't make any plans until I actually get hired someplace. I've pretty much given up on the whole hospital system I was employed with.