Public officials in Thailand have, according to the law, very wide powers. And in addition to the requirements listed on the Immigration Bureau's website, they will probably require proof of residence and it cannot be a hotel or the like. Which documentation they need depends if you are renting or not. But normally it is, among other things, a copy of the "Blue book" and a copy of the ID card of the house owner.
"In the case of retirement:
Criteria for Consideration
Must have been granted a non-immigrant visa (NON-Immigrant Visa).
Must be 50 years of age or over.
Must have evidence of monthly income of no less than 65,000 Baht or
At least 2 months prior to the filing date and at least 3 months after being granted permission, an alien must have a deposit in a commercial bank located in Thailand of no less than 800,000 baht. After being granted permission for 3 months, an alien can withdraw the said deposit and must have the remaining balance in the bank account of no less than 400,000 baht or
Must have an annual income and a deposit in a commercial bank located in Thailand with total sum of no less than 800,000 baht as of the filing date. The said deposit must maintain in the bank account prior to and after the permission is granted and the withdrawal can be made under the same condition in the Criterion (4)."
You can theoretically get a COR from your embassy.
My Norwegian embassy issues a residence certificate at the address at which I am registered in Thailand. I do not know what practice your own embassy has. But if it's enough to just state an address in Thailand, you have the option of getting a residence certificate. But the problem with DLT is that you don't have a Non Immigrant Visa.
This article from Bangkok Post deals with the purchase of a car, but the same documents are required to buy a motorcycle,