Although not rescues, you could try asking breeders if they have any older dogs who have retired from the ring and would love to be an only dog rather than one of many.
These dogs usually have fantastic temperaments, are house/lead trained, vaccinated, wormed etc. As they have been ex-show dogs they will have been well looked after but just need a family of their own in retirement.
These dogs don't come under ' a little dog that fell on hard times' heading but might be a consideration for your family.