A lot of this never made it into The Melville Log, and you can't get it on Google Books. Scans below are from my own copy of the October 1950 issue of The Boston Public Library Quarterly, which I bought through AbeBooks.
Jay Leyda published the fragment as "An Albany Journal by Gansevoort Melville" in the Boston Public Library Quarterly Volume 2, Number. 4 (October 1950): 327-347.
The manuscript back then belonged in the Morewood family. Where it is now, who knows?