I have to be honest and say I don't know. There might be a pet cremation service near the person, that you could contact. I'd also speak to the PDSA and see what they say.
I don't know anything about council housing and burying pets in the garden, but if it's a small dog, I'd see if a friend can help me bury it, if I couldn't do it myself. They would have to level the ground off flat, and then keep the excess soil in a bucket.... then every couple of days, add some more soil to make it flat again (as the body breaks down). If it's all grass, then Id dig up a square carefully, roll it, and replace it after to try and hide it -. only removing it to add more soil, so the land is flat.
I've also had friends bury their pets in the park at night.... but they were all small, and they said it was a bit nervewracking.
I'd ring a local vet and ask for advice too. And unless you know otherwise, why not ring the housing or council anonymously, and ask for advice. They might just say it has to be buried a certain depth and not near any water like rivers or streams or other water sources.
Failing that - if there is a local Facebook group - that maybe you could put out a plea, for someone to take the dog to the PDSA for the person, if you donate to petrol costs. I am sure there are willing people out there. I know I would do it for a local in that situation.
Bear in mind, that anything buried, will have to be a good few feet deep, so not to be dug up, or an issue while breaking down. Also, personally, I stopped putting my pets in a box a while back. I used a pillow case to lay my last cat to rest, and with my poor little bunny who was the last to leave me a year ago, I used kitchen role, and hay. Covering the body was more for me rather than any particular reason. I don't use much because the covering has to break down too.
Hope things are worked out. Good luck.
