Elemental Battler of the Dragon Isles

I ran into a bit of a wall on Swog, and came here to search for solutions. As I only had one pet which filled the [speed>300] and [Puppies/Sons of the Flame/Root] abilites criteria, I had to do an inferior variant on that strategy. It is still very long, and can be wrecked by taking an unfortunate crit, but it worked at least once so I figured I'd post it for anyone else stuck in the same boat as me.

The pets I used are:
Molten Corgi (1/2/1, speed>300)
Hearthy (x/x/2) (possible alternatives are Happiness and Jadefire Spirit, for their dodge+swap abilities)
Phoenix Hatchling (2/1/x, speed>300) (alternatives may exist, this one doesn't do much heavy lifting)

Posting the entire fight sequence would be a bit much, so here's the gist of it.
Swog follows a fixed series of moves. They go:

• 
  
• Thundertongue (small damage)
• 
  
• Pump (build up)
• 
  
• Pump (release) (big damage)
• 
  
• Sear Magic
• 
  

and repeat. This means that you know exactly when the hits will be coming, and because your primary pets are speed>300 the Thundertongue is significantly less dangerous, leaving the Pump every 4 rounds to be the main thing to play around.

Time the usage of Puppies to avoid two hits each time.
Pump, when reduced by Blazing Yip, deals 961 damage.
If Portal is off CD and a Pump that can be neither Puppied nor survived-and-Cauterized is incoming, swap to Hearthy and use Portal (the move goes first despite the pet being slower)
This is not a race, use cauterize regularly (though not necessarily every time it's up. Try to think ahead a bit).
There was at least one point where I had an incoming pump I could not Portal, Puppy, nor survive on the corgi/phoenix, so I let Hearthy's large health pool soak it.
There were multiple points where pump brought the corgi/phoenix down to sub-100hp, hence the vulnerability to crits.

It took me 67 rounds. Good luck.

A lot of trial and error on my part to get a team that worked. Was almost able to do it with a team of 2. If I had 2 Primal Stormlings I probably could have. The general idea is to line up Bash when the first Pump is active, it essentially skips the second pump and then when Swog uses Cleanse it also clears his own Pump. My 2nd and 3rd pets were both slower. Bash needs to be timed after Swog uses thundertongue if the pet is slower.

VS Swog

Primal Stormling 212
Tiny Twister 122
Drafty 212

Primal Stormling

Call Lightning
Slicing Wind
Slicing Wind
Bash (keep from using second pump, cleanse clears his own pump)
Slicing Wind
Slicing Wind
Call Lightning
Slicing Wind

Tiny Twister
Slicing Wind
Slicing Wind
Bash
Slicing Wind
Call Lightning
Slicing Wind (I wasn't able to get this off)

Drafty
Sandstorm

There is a small bug with this in that [npc=197447] does not appear to get credit even when you use an all-25, all-elemental team. He was the last one I needed for this particular achievement so it was really noticeable when I didn't get the achievement. After logging out and back in, however, the achievement was awarded immediately.