R' Dovid Miller, who has served as Mashgiach Ruchani of Yeshiva University, has two recorded shiur series on Derech Hashem up on YUTorah.org, one from 2005, and one from 2012. (Click on "Collections," and then find-in-page for "Derech Hashem" to find these two collections.)
They comprise 82 and 97 shiurim, respectively, and a spot-check indicates that the typical shiur length is around 10 minutes.
The last shiur in the second series bears the note
This is the end of the sefer. יישר כח to Rav Miller and all those who have learned with us the whole way through.
so it seems that the series does cover the whole book.
I have not yet listened to these shiurim, so I can't yet testify about the quality of either the content or the audio.