Is there a better alternative?
Not really, IMO, if you're looking for a thorough biography in one volume. I do like Richard Brookhiser's "Alexander Hamilton, American" a cogent appreciation and introduction that you can't use as a doorstop.
Kathleen, I love Burr. It’s one of my all time favorites. And it sticks very close to the facts, although you can disagree about interpretation.
I agree with you about Chernow’s partisanship. He’s not alone in that --many biographers of the FFs seem to be engaged in a kind of My Founding Father Is Better Than Your Founding Father debate. But that may come with the territory, it was a highly partisan era, after all. (I also agree about Chernow’s habit of explaining away unpleasantness. I recall offhand that, after a recital of the difficulties in the Hamiltons’ marriage, he says something like, “it was an ideal union.” Uh, let’s see – chronic infidelity, what looks very like an affair with his sister in law, money problems, apparent intellectual incompatibility.....truly, a marriage to be envied!
The Library of America put out a nice collection of his writings not long ago, and there’s always The Federalist, which I adored during a particularly geeky phase of my otherwise misspent youth.
The Library of America books are handy if you want to go right to the source. My big beef with LofA is the lack of notes and context for much of the material.