There's an English poem called Astraea Redux, written for political reasons in the seventeenth century. The way its author pronounced Astraea would probably have been: as-tree-a. The way the ancient Romans would have pronounced it would have been more like: as-try-a.
Either of those sounds beter to me than as-tray-a, who sounds as if she's perpetually going astray! What if you tweak the spelling and make it Astrea? Like encyclopaedia/encyclopedia!