It depends on how you define 'rational'. A reasoning process can be engaged in that weighs evidence, and concludes either that the guidance of a cultural interpretation of religious texts is sound, or something like pascal's wager can be engaged in that the hazard of eternal punishment requires acting as though a given picture is correct.
Souls can also be pictured as 'continuing' as potential, without sensation, and by say remembrance or appeal to their qualities, be 'made conscious' by others, who 'do as they would do'. I think that is, at least reasonable. It would require a particularly vivid picture of that person's character. It can be used to understand intervention by saints and bodhisattvas.
Christian theology really holds we get eaten by worms, and remain dead until the resurrection, when the righteous get a new Heaven and a new Earth, and the 144,000 chosen go to serve god. A special few get the lake of fire, which like Gehenna in Judaism is not a place for all that 'failed to be religious enough' but a place of special torment for those who opposed god's plan. Mostly the unchosen just disappear with death, cease to be. Post-Biblical Hellenic influences fused Gehenna with Tartarus where (most of) the Titan's were consigned, and Hel the Norse realm of the unrighteous dead and antipode of Valhalla/Folkvangr. I'd argue this is synchretism. A very few saints and prophets ascend directly to stand with god, I'd compare this to the Greek tradition of naming constellations as ascending to Olympos, taking up an honoured place in the core cultural text that all people know. Eternal heaven or eternal punishment can't be rationally or morally explained, and conflict with our understanding of entropy. The Bible focused on the new Heaven and new Earth, where embodiment will occur again.
The Mahayana Yogacara tradition has the most theologically developed Buddhist picture of rebirth. It occurs through Eighth Consciousness, which I think can be productively compared to the Memesphere or Noosphere. Buddhist thought deconstructs the conventional self, replacing a permanent unique identity with a bundle-theory very akin to that of Hume. We all contain threads which are visible and threads which are latent potential in this picture, and they are all attached to causes and conditions, which is to say karma. Core Buddhist doctrine of all schools is there are six consciousness or vijnana, one for each of five senses, plus mental awareness. Consciousness begins at these vinaya 'gates', as pairs of the internal and external. That is, by interaction. And as they unite to build a joined picture of the world outside, they join inside to make a unified mind. So for Buddhists consciousness always involves interaction, ultimately meshed with Indra's Net, the reflection of all minds in each other. But, at least for Yogacara Buddhism, the 'Mind Only' school, mentality not physicality has primacy, and non-corporeal travel and transcending physical constraints are commonly described as spiritually attainable skills.