https://bestpresidentialbios.com/2014/06/28/the-best-biographies-of-abraham-lincoln/

You may have already discovered this site, but the author does a good job of rating the major Lincoln biographies.

I have read three of the books on Lincoln. Doris Kearns Goodwin's Team of Rivals is an engaging and accessible look at Lincoln's time in office and is great if your primary interest is in his role as president (though your post suggests it is not). Carl Sandburg's multipart bio is probably still the most famous narrative of Lincoln's life, even after almost a century. It is beautifully written, though slow paced at times. It also mythologizes Lincoln to an extent that more recent historians find uncomfortable. For the most recent scholarly perspective, try Michael Burlingame's 2 part bio of Lincoln. Burlingame is widely seen as the foremost Lincoln scholar alive today and his work sheds new insight on many parts of Lincoln's personal and political life. His bio is very comprehensive, but it is also well written and accessible for anyone with the time to get through it. It is generally seen as the premier bio of Lincoln amongst historians today.

Slightly narrower than you are asking for, perhaps, but Eric Foner's The Fiery Trial is probably the biography that is most well-regarded by academic historians outside the field of presidential history (which is kind of its own thing). It covers most of Lincoln's life, but focuses on his engagement with the history of slavery.