hi ggg, you can listen to the most accurate reconstructed homeric greek recording i've heard here:
it's better than daitz, because he holds his notes rather than sliding around between notes. an ancient authority on greek music (aristoxenus) says that in reading poetry you hold your notes, but in speaking prose you slide between pitches constantly.
also at the top-left of the page there's a link "ancient greek music": the author has reconstructed the few surviving substantial bits of greek music, so that you can hear what it sounded like. there he only uses synthesised instruments though. there are at least 2 recordings out there of the same fragments performed with real reconstructed instruments and voices. 2 of the surviving bits of music are from choruses of euripides; one recording i've heard is a french one, where they got a master french instrument maker to recreate the ancient instruments and they got a chorus to sing euripides using the proper greek scales. it's worth finding.
another site with reconstructed recordings is here:
it has daitz recordings as well as some from other people; the best one is the sophocles one i think.
also i don't think it's a bad thing to begin with poetry rather than prose: professor harris wrote in an article on Pindar's Olympian 1:
I believe it makes little difference if one reads an easy or a hard text at the start, provided that the person is interested and aided by enthusiasm. Greek verse is in many ways easier to read than Attic prose since there is virtually no real Syntax to poetry beyond the placement of the words in artistic configuration, while prose sentences tends to be lengthy, stylistically manicured with mannerisms and conventions.
good luck with it