If they were at the level we were at 30,000 years ago, spread so thin with only stone, wood, and bone as tools, it’d be unlikely anything could be found. Stephen Baxter speculates on your proposal in his novel Evolution. If they were on the level of the Romans, I think it’d be easier to find, but still not likely. Remember, entire species emerge, live millenia, and go into the darkness leaving no trace for us to find. Most of them actually. We’ll only know a small part of the planets biological history, either the most common and successful, or the most lucky. If you’re talking 1960s level though…
We would see resources depleted in places they should naturally appear, only to show up in very high concentrations totally out of place elsewhere. We would see the same with animal fossils if this hypothetical species had oceangoing vessals. Our radioactives will survive a long time. We’re making tons of elements not produced since the creation of the universe itself, some with half-lives rated in billions of years or more. These would be signs of an intelligent race.
So would minor traces of pollution, found crushed into the geological strata, mud cores, or recorded in any remaining ice layers (although that’s unlikely, as earths natural state is ice free and has been for the vast majority of its history and will be again). We would be able to see the obvious pollution, telltale sign of a species with industrial capability. Also, it’s possible some creations would survive preserved on the ocean floor, or buried by the earth, only to pop up on the surface from time to time as erosion and continental drift do their work. These may continue to the end of the earth (there are 3By/o+ rocks on the surface of the earth now), and if when the sun dies and the planet is thrown into interstellar space, some of our work may be preserved on the surface forever, as the earth cools to essentially no geological activity and with minimal if any bombardment from thw space in between the stars. We’ve already observed such rogue worlds.
Our probes to other planets and moons would be long gone eroded away, but our probes, footsteps, and remnants on our moon should survive somewhat
intact until the death of the sun. We have pictures of our footprints on the moon, so if anyone else made it that far they’d have to be damn small not to be seen. Probes that exit our solar system could last into the tens of billions of years or further, but even if they do survive to be a last trace, it is a trace less than a molecule of water in an ocean the size of our solar system. Humans have already made a mark on the universe that, small though it may be, should persevere to become older than the universe itself now is.
My question is, humans of all kinds made billions of stone tools everywhere they went. Will they all erode? If we treated them as fossils, would none make it into the record? All it would take is a small community living on the edge of a lake for thousands of years, throwing their tools into the lake, right? I figure these stones exist in numbers larger than some dinosaur species we’ve found. Would I be wrong in that assumption? Or in the assumption they’d make it into the record easier than bone? Because if I’m right in that, it might not be too arrogant to dismiss past species making it to that level.