Your comment seems far-fetched. For one, an AI with such awesome powers could also choose to run a copy of you starting from any moment when you feel unhappy, not just the moment of your death. Since the universe around me stubbornly keeps on looking normal, something will probably stop "rescue sims" from happening.
I don't think this argument makes causal sense. If you'd been uplifted into a rescue sim, you certainly wouldn't have made this post. The universe looks, from all of our perspectives, exactly like it would if rescue sims were possible, since that doesn't currently make any testable preditictions. You(sub future) might see some differing effects, but that version of you isn't around right now, and can't provide evidence on the subject.
What looks, at the moment, as the most feasible technology that can grant us immortality (e.g., mind uploading, cryonics)?
I posed this question to a fellow transhumanist and he argued that cryonics is the answer, but I failed to grasp his explanation. Besides, I am still struggling to learn the basics of science and transhumanism, so it would be great if you could shed some light on my question.