If you are trying to take some humps off
I have some high-spot areas to make flat on some butcher-block table tops,
As opposed to smoothing out rough areas?
I like scrapers like these for bearing down.
Left- and right- most Stanley box & label scrapers - i use pieces of industrial hacksaw blades for the scraper. The 2 Starrett cabinet scrapers (center with big wingnuts) have really nice steel for a burred scraper, if you can find some that the steel is not used up small (short). When that happens, the scraper does not have enough angle adjustment to easily get the hook down where it is effective.
I sometimes simply use a wide red devil paint scraper with a filed and honed edge, too. The unfortunate thing about them is they have cheesy plastic handles these days. I made a batch of wooden handles years ago for the flooring guys (They used to use them after or in conjunction with the edgers, for a clean edge and corners) and kept a few on hand for my own use. Easy to make when the plastic fails.
since you are asking about hand tools, have you hand planed it close?
I find planes easier for making things flat.