Warbles on the Tdi Pro are normal, a characteristic of this machine. There are mods available but they might or might not be the right answer.
You can push threshold past the warbles until it smooths out, then turn down the volume, but gain will still be around 5 for bad ground and the machine will be noisy. I find the noise distracts me so I use a technique I've ripped from Wal&Liz, run silent with extra gain...
I put a grommet under the threshold dial so it only moves with effort. Thus equipped I run the Tdi Pro by starting with threshold loud past the warbles whilst I ground balance, once properly balanced I move threshold to just silent, then up the gain higher. This method allows higher gain without noise, with the grommet under the threshold knob I know it won't move and after a lot of second guessing I have confidence in this method. It works for me, it is an option.
Should point out my Tdi Pro has mod for smoothing out the warbles. The mod allows more ground noise and some hot rocks will register, not a big issue for me since I focus mostly on the beach, could be a deal breaker for prospecting. Mod only takes effect when ground balance in on..
If I had to do it again I would focus more on technique, gaining experience and confidence in my abilities with the machine, maybe not worry about the mods.. My opinion only.
The Nugget Finder Sadie you are using is probably one of the best small gold coils, my experience. Spoke with Gold Search Australia, the local importers recently and they told me that sometimes in bad ground using LESS gain can produce better results, true for VLF machines but I'm still on the fence for PI machines. The argument was that running a smooth and stable machine enables you to pick out targets more easily. More gain is not always the answer. Dean runs his gain around 3 or 4, still finds the gold.. Next time I'll give it a go myself. Experiment, test things out, it's all part of the experience.
Good luck with the Tdi Pro Oz, I've got a lot of respect for this machine. It's great on the beach, very capable on the goldfields and good fun to boot..
All the best,
Karelian