I'm right there with you.
I've actually given time travel an inordinate amount of thought. (aspiring author who sucks so bad not even my dog would read it)
One of the things seldom taken into account when discussing time machines is the fact that everything in the universe is in motion to one degree or another. Consider: the earth revolves. This imparts a considerable vector to you and your time machine. The earth also travels around the sun. Add many kilometers/sec to your motion. The sun revolves around the milky way. Add several tens if not thousands of KPS. The Milky Way has velocity relative to members of the Local Group, and the rest of the universe at large. Total it all up, and you're looking at some serious velocity attached to something that is nominally 'at rest' relative to your current location. (some vectors will cancel each other out, but overall, the 'absolute' vector is several thousand KPS.
Now, jump in your time machine and jump one minute into the future or past. I hope you have a space suit, because otherwise, you're now breathing hard vacuum. I also hope you've built a spaceship (a TARDIS?) around your time machine so you can then travel back to the Earth.
I believe 'time travel' of some sort is probably possible, as the Lord stands outside of time and space IMO. I suspect you'll have to travel through His realm to reach another time. I do not know if He will allow it.
I do believe there is another realm as ou describe it.