Use the effect of "Plaguespreader Zombie" to return your "Destiny Draw" to the top of your Deck, then activate the effect of "Diamond Dude". Afterwards a Level 6 Synchro Monster such as "Goyo Guardian" can be Synchro Summoned with "Plaguespreader Zombie" and "Diamond Dude".
After using "Destiny Draw", put it back on top of your Deck with "A Feather of the Phoenix", then use the effect of "Diamond Dude" to recycle it.