An alternative way of looking at time travel.
Temporal symmetry causes us to travel back and forth through time constantly. Unfortunately, your body and mind is also caught up in that shift like the rest of the universe, so you don't remember it and don't change anything.
To achieve 'time travel' then, we must find a way to isolate the matter and energy of a person from that normal flow. Most methods discussed use wormholes or massive rotating bodies to isolate an area of space in which that matter and energy exist.
If you are willing to allow a form of teleportation then the energy requirements for time travel reduce significantly since you would only need to isolate a narrow beam path for the energy that does not even need to support life during the passage.
Reassembally on the other end becomes the problem at this stage. Perhaps you are limited to traveling only to times which had a functional teleportation chamber. Or, perhaps you have devised a method of self reassembling energy into matter. In which case, awesome.
This then leaves us with the problem of targeting your destination. If you are relying on the natural ebb and flow of temporal symmetry, well, we've never had any tools that can measure this, we just know that mathematically it should happen. If you manage to build an energy isolation tunnel as I suggest, then you finally have the first steps for a tool to measure that flow. Which means that you, as the author, get to decide when, and when too, your characters can travel based on that ebb and flow, as well as how accurately they can measure and predict it.