It's all a bit iffy. We also have to fit a 100- year war between Vulcans and Romulans into the timeline, and then imagine that even after a 100 years they still don't know who the Romulans are. (!?!?)
We don't know when this 100 year war happened. Does this refer to the last 100 years of fighting on Vulcan near the time of Surak? They weren't "Romulans" then, but later persons know that is who they became and so they refer to them that way.
Or maybe it happened much more recently. Its hard to say when, because the timeline of Vulcan warp drive is not clear. Quark seems to think Vulcans didnt have Warp in 1947. He could be wrong about that, but it's hard to prove that he's wrong about that.
Soval tells Armstrong that Earth did in only 100 years what the Vulcans did in 1,500 years. Rebuild their world and go to the stars. If he means after the 4th century wars of Suraks time, that would mean something like the 19th century. Nor far off from Quarks comment.
We also hear it took the Vulcans a 100 years to reach Warp 2. So when is this war? Hard to imagine at low warp speeds. Impossible to imagine at sublight.
Even if we say mid 19th century, that would mean Vulcans become warp capable around 1850, Warp 2 about 1950 (go to Carbon Creek, watch Sputnik launch), and formal 1st contact in 2063. So maybe the 100 year war with the Romulans is 1950s to 2050s? IDK.