It seems that the TopHat and other breeds with a keel-hung rudder have a bad reputation for steering in seas, with the wind on the quarter.
This is the only direction that the tillerpilot just will not handle.
Picture short, steep 1-2 metre slop in Port Phillip or Bass Strait - even hand steering involves anticipation and a lot of helm.
I have tried reefing the main or even handing it altogether, with little improvement.
So....has anyone tried streaming a small drogue (off the windward quarter) to keep the stern from tripping over the bow????
On the other hand.......Today, the tilllerpilot cable connector finally became unusable. With the wind forward of the beam (the further forward the better) Kittiwake steered herself perfectly with a 'lashed' helm - better than with the pilot. Lashing is achieved by using a light stainless chain across cockpit and onto pilot pin on tiller (link-by-link adjustment). This was best with the #2 headsail full and the first reef in the main (14-18 kts), set to de-power just before the h/sail. Sorry, no photos, but this is so simple.
After 60 years of sailing I am still learning, and despite occasional vices, the TopHat is a remarkable little yacht.