Try on freedns.afraid.org — there is a third level domain you can take, and bind to the IPS to configure. About the restrictions, like not changing for a long time, the IPS are not met references.
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Another option: on nic.ua to register a domain in the zone .pp.ua (free, but need to indicate mobile, where it should come SMS with an activation code), when you register a domain choose a managed NS and specify there own IPS.