Where will the solar system be in space 100,000 years in the future of our now? ... The problem of traveling immense distance is not erased just because someone wantes to postulate time travel. Our solar system and galaxy are moving at an incredible speed from, to somewhere. 100,000 years from our now, the entire galaxy and our solar system will be a huge distance from our now location.
Granted but let’s confess to a fair degree of mutual ignorance about the intricacies of travel through space/time. The concern you have may be addressable by the eventual technology. The scientists and engineers of 100,000 years hence are not bound by our lack of imagination or ignorance. This conjecture is so far out of the box that there may as well be no box. I don’t know how old you are but technologies unimaginable in my youth are already obsolete.
A quantum computer is needed to calculate the relative displacement of space when traveling in time.
If you think we don’t/won’t have one, think again.