I’d give the distinction to John Dowland, who was one of the greatest musicians of his time. He moved in the same circles as Shakespeare; shared a patron with Shakespeare; had lived for years in Helsingore as musician to the Danish king; moved all through Europe, particularly Italy and would have been partial to making a quick buck putting out plays. Besides, many of his famous lute songs fit hand-in-glove with the situations in the plays.
Is it not possible that Shakespeare was an acquaintance of the man you mention and was able to pick his brain for a lot of information and ideas?
But the Jewish angle?