In short, until I can figure how to solve that bottleneck (and reproduce all known physics (or at least GR) in the non time travelling limit), I am going to stick with CTCs for now else I will be kicked out from the physics community due to being accused a crank
alternately, I can simply forget abotu making it consistent and just use it as it is, like anyone else who have done back to the future time travel plots in the past, but I don't like that, because it is *not real enough*