Day 284: Zubat

 The next day...

 Another Zubat.

 Nelly kills it in one hit with Wing Attack.

Day 283: Zubat

 The next day...

 Another Zubat. Still waiting on that Jynx...

Nelly kills Zubat in one hit with Wing Attack.

Day 282: Golbat

 The next day...

 Spoilers: Still no Jynx.

 One hit with Wing Attack, as always.

Day 281: Swinub

 The next day...

 Standard one-hit-kill-Swinub day!

Day 280: Swinub

 Next up is Swinub. Oh, did I mention - Jynx's catch rate is only 10%, at best. Battleaday!

 Swinub uses Endure like a cock, ensuring that he will survive this turn.

 Sure enough, he survives with 1HP.

 Next turn I kill it proper with Bite.

Day 279: Golbat

 So, I could fight Claire right now, but I've studied her team and she's going to be tough. She's got a three Pokemon with water moves, which means my ace Diane is not going to be very useful. They also have a few fire moves, so Rhianna would die immediately. Pretty much my only Pokemon who can stand up to them is Nelly, and while she's powerful, she isn't good enough to solo four Gym leader 'mons. Thus, I have a plan...

 I'm headed back to the Ice Path. My plan is two fold: One, throw Nelly against thousands of Golbats and Swinubs, leveling her up. Two, catch a Jynx, and level her up too. Yep, that means I'm going to be in this neck of the woods for a long, long time. Battleaday!

 The first Pokemon up to the slaughter is Golbat.

 Nelly kills it in one Wing Attack.

Day 278: Ace Trainer Mike

 The next day...

 But do you have the heart of the cards?

 I open with a Poison Fang, dealing decent damage, but no poison. Dragonair retaliates with Dragon Rage, doing a flat 40 damage.

 Nelly kills Dragonair with another Poison Fang, dealing a critical hit.

 np