The best replacement for black walnut is walnut.

The best alternatives to black walnut are rated as following:
★★★★★  walnut
★★★★  butternut
★★★  american walnut
★★★  walnut wood
★★★  english walnut
★★  claro walnut
★★  mahogany
★★  brazilian walnut
★  regular walnut
★  wormwood
  tree of heaven
  sumac
  white walnut

Your alternative for black walnut is not listed? Suggest!
Speaking about black walnut, one probably shouldn't forget about wormwood.

Other search terms related to black walnut and their ratings are:
★★★★★ wormwood
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