Zeke is adorable!!! Yep, it sounds like Zeke needs a bigger bath.
My canary Peeps started doing the same thing last December! He would frantically rub his face on his water feeder and he would look all disheveled and sneeze afterwards. It really scared me since I've never cared for a bird before, so I've never seen him act like that.
At the time I wasn't sure if he was going through an off-season molt or if he had mites, so I (fortunately) found this forum for advice and also took him to the vet. Turns out he was molting after all.
From then on I started putting in his bird bath everyday. I assumed that he must've felt very uncomfortable with a bunch of pin feathers pushing through his skin (it's his first molt too, he's almost done now). There were days where he instantly jumped in and days where he didn't, but I put the bath in for 15-20 minutes daily just in case. When his molting got heavier, he started jumping in everyday and for much longer. Sure enough, the behavior stopped! *KNOCKS ON WOOD*
Peeps is almost 2 years old and is about 17 g last time we saw the vet. His tub is about 6x3x1.5 inches?
Hope the story and info helped! Hope Zeke is doing well!