There is nothing to support this in the published universe of either World of Darkness. There are only things that come close, Mummy: the Resurrection being the closest. As you have indicated that your storyteller has allowed homebrew races, and have also indicated that you wish for your character to actually be able to die only to return to life, I can offer some suggestions. These have no mechanical component, since they are just changing the fluf around already existing concepts.
If you change the fluf of Mummy - come up with your own origin story for how you became immortal, and made reincarnation faster to fit the story, the game supports immortal characters. This option has many drawbacks, as it also includes a great deal of magical powers for the character.
Be another Highlander
You already have Highlander at the table, and using the same rules for your immortal and theirs would be a trivial switch. As Highlanders do not have many magical powers (sensing another immortal being the only one of note), simply changing the death condition will suffice. I should note, though, that there are literally hundreds of rules sets for playing Highlander style immortals, so your mileage may very.
To reiterate, No, there is no rules published for what you want to do. My actionable advice is to change the fluf of an already tested and already in use home brew supplement.