What should I do with my dogs in this situation?

Hi there. So I am facing a situation where I need to move temporarily across the country and care for a sick relative as they recover from a serious surgery. I have two dogs that I am trying to figure out the best thing to do with them is. My relative hates dogs and while they said I could bring the dogs, the dogs are only allowed to be kenneled in the basement. No yard access, no playing outside the kennel the entire time we live there.

Obviously I do not think that would be good for the dogs. So I am trying to figure out better solutions where my dogs won't suffer but I can still help my relative. I have been looking into sending them to daycare where they can still get their energy out and can basically sleep at home. Is there anything else I should consider with this arrangement? Is this much daycare bad for the dogs? And does anyone have any other solutions I haven't thought of?

Edit:To clarify a common misconception that I think I accidentally implied, I would still be walking my dogs and caring for them. They would never use the bathroom in their kennels. And I am looking for solutions so they are basically not staying here. I have no one to watch them and no my financial situation would not afford me to pay $2000 a month for boarding. The daycares I've been looking into would be around $1000 a month and that still is a little tight for me but something I will make work if it's right. I'm not moving there just to kennel my dogs 24/7 and that is why I am crowd sourcing and looking into other ideas. My relative is a good person and I know it may not seem like it with these rules but I believe it's pure ignorance as to what a dog needs and not out of malice. Despite that, they have made up their mind on the issue.