Probably depends on the proportion of tarmac to rougher stuff. A semi-slick such as the Panaracer Mach SS (if they still make ’em?) would probably be fine for the rougher parts, but would drag more on roads than a slick.
In terms of slicks, I had Schwalbe City Jets and found them OK, although the grip does abruptly give way if you lean the bike over too far on bends. Now gone to Spesh Nimbuses, and find them to be fine. They’re all an absolute pig to fit though…