Yes, I do have an idea. Chrome, Safari and the IE9 are able to play mp3 files without using the 1PixelOut player (without Flash). podPress detects the web browser and embeds the mp3 files according to the abilities of the web browser.
But you can uncheck the option "Use HTML5 tags:" at the player settings page of podPress. If you do that podPress will embed the mp3 files always with the 1PixelOut player or Podango player.
The background of this option is that mobile devices like iPad, iPhone and iPod Touch don' support Flash but HTML5. So if you leave all as it is it should be possible for everyone and every device to play the episodes via your web site with the one disadvantage: the player looks not always the same.
(But there are plans for future to implement a player which looks in every browser the same.)
ps: Thank you for the screenshot!