According to my resident musicologist, these were early Baroque composers. And I always say, "If it ain't Baroque, don't fix it!" Think of Dowland, the great English lute master. In fact, you couldn't do better than go to Amazon.com and find a collection of his works.
John Dowland, and his Lachrimae, etc. I've got a number of recordings, with the English crews including the Emma Kirkby and Anthony Rooley crowd on L'Oiseau Lyre, and some lutenists and consort music recordings.
You're very right, Monteverdi et al would be early Baroque, although within the time frame you mentioned.