I'm assuming everything labled "?" is fair game to be altered. If OP wants to make this a challenge, then Home Immunity needs to be banned.
Additionally, there's another loophole you can use to win. It takes some trial and error, but you don't necessarily need Bearyenas to mate. Go to the Summer Mountains. and, as a baby travel to the mountain blocks. Mountain Block nichelings don't count as Wild Nichelings so you can still release them within this challenge. You have a heat buff so you won't freeze and die so long as your an infant. If your lucky, you'll be able to reach an ice block by the time you reach your second gem. Also, you're going to need a hot spring close by for your nicheling so they don't freeze after 2 turns. If your lucky again, and the nicheling you crack out is male wait until they're old enough and breed immediately. The baby will help provide your nicheling with extra warmth. Ideally, you'll get a nicheling that can crack nuts or can eat the toxic berries.
Also, some additional critique to this challenge, adding hemophilia's pretty worthless. If your nichelings die in one hit anyway, there's no real point. And I wouldn't recommend using the Derp Snout because the distasteful appearance lessens the likelihood of a bearyena attack your nicheling. I'd go for the normal snout instead.