The best replacement for silver nitrate is colloidal silver.

The best alternatives to silver nitrate are rated as following:
★★★★★  colloidal silver
★★★★★  erythromycin
★  silver sulfadiazine

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Speaking about silver nitrate, one probably shouldn't forget about sodium chloride.

Other search terms related to silver nitrate and their ratings are:

★★★★★ sodium chloride
★★★★★ copper
★★★★ sodium hydroxide
★★★★ ammonia
★★★ hydrochloric acid
★★ calcium chloride
★★ sodium chromate
★★ potassium chloride
★★ copper wire
★★ sodium bromide
sodium carbonate
potassium iodide
ammonium hydroxide
zinc chloride
sodium iodide
sodium phosphate
potassium chromate
potassium bromide
ammonium chloride
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silver nitrate
colloidal silver