The Ruthenian Eparchy of Passaic has a diaconal formation program. Maybe you could contact them and see if there is a way to study through them for service in your own eparchy (Ukranian?).
The director of vocations/ diaconal formation is Father Ed Cimbala. His contact info is at this web page:
http://dreamwater.org/edu/passaic/vocat.htm Good luck,
Frank
PS Maybe Father Ed could give you info on books to study. Also the Antiochians have the Saint Stephen's course for preparation for dicaonate
http://www.antiochian.org/638. The Saint Athanasius Academy also has distance ed courses which might be helpful:
http://www.saaot.edu/