Basically it comes to whether what your local authority will pay for care vs what the home charges. If you go and have a look round and chat to them, the manager will be able to tell you whether this happens.
Has he had a full Local Authority assessment regarding his care needs? Even if you feel he needs a care home, the LA won't go down that route until they have ruled out other options. You don't say if your dad already has a care package . If not, an LA is very unlikely to consider a care home until carers have been tried. Also, it depends on what your dad wants. IF he had carers in to help with certain personal care tasks ( washing, dressing, cooking etc) that would support him to remain independent. If he does have a care package and it's no longer meeting his needs, ask for a reassessment . If it comes to the point where a care home is the best way of meeting your dads needs , and he agrees, then the social worker should bs able to tell you which local homes accept LA rates. Age Concern has quite a lot of good info on care homes etc.