I like the Iron Ball idea. I think item-specific level-up evolution is also time-specific though. In other words, all the Pokemon that evolve through a hold item and level-up do so at day time only or at night time only. Specifically:
Gligar needs held item Razor Fang and Nighttime to evolve to Gliscor.
Sneasel needs held item Razor Claw and Nighttime to evolve to Weavile.
Happiny needs held item Oval Stone and Daytime to evolve to Chansey.
So, unless you're implying evolving through trade (like Rhydon with Protector evolving into Rhyperior when traded), we'd need to agree on Daytime or Nighttime. I'd vote Daytime myself, but it doesn't matter.
Also, I'd spell Breezi as either Breezy or Breezee. Both have precedents: Breezy as in Happiny, Burmy and Manaphy; Breezee as in Drowzee and Combee. But there's no Pokemon that ends in 'i' and has the 'ee' sound at the end. Just a minor detail, really.