Grandmaster-level chess without search

OT: what's the state of the art in non-GM level computer chess?

Say I want to play chess with an opponent that is at about the same skill level as me, or perhaps I want to play with an opponent about 100 rating points above me for training.

Most engines let you dumb them down by cutting search depth, but that usually doesn't work well. Sure, you end up beating them about half the time if you cut the search down enough but it generally feels like they were still outplaying you for much of the game and you won because they made one or two blunders.

What I want is a computer opponent that plays at a level of my choosing but plays a game that feels like that of a typical human player of that level.

Are there such engines?

As a complete amateur I'd love a chess engine that can point out my mistakes, explain its own moves, and suggest better moves, in human terms. Like, this move would pin the white bishop. I don't know if this would be AI based or simply a search-based engine that scores in abstracted ways such as giving points for tactics like pins and forks, controlling the center, protecting the king, etc. (Typical chess search just scores based on piece and position and looks ahead farther than a human brain can handle.)