All my
road frames are 60 - 62 cm. Nearly all of them have
speed wobble/shimmy regardless of trail. I have found that a double roller bearing headset can calm it, but not eliminate it. I now descend with one of my knees touching the top tube as a matter of course (it disrupts the resonance causing the shimmy).
The one frame that doesn't shimmy is my '92 Serotta Colorado TG (pictured below - please ignore the horrible brake lever/bar positioning). It has the classic tapering OS DT and ST - the diameter gets larger near the bottom bracket. This bike never wobbles at speed and it has a standard Shimano 600 HS. It can handle 28-30 mm tires and is an absolute joy to ride. It doesn't have the capability for fenders or racks, which I normally fit to my bikes, but it flat out flies down the road (in fair weather). Every time I have tried to sell it, I take it for a spin, return with permagrin, and it immediately gets lovingly placed back in the stable.
Back on topic: If you don't follow Henry Wildberry on youtube, three years ago he did a deep dive into frame design and its contributions to shimmy.
Here are videos related to that topic. (Fair warning - his videos are more conversational rather than slickly edited, so they are longer than some other youtubers' videos - but I still enjoy them.)
A mere mortal obviously doesn't have the resources to do an in-depth, real-world comparative analysis, but the upshot is this: changing the resonant frequencies of the frame affects shimmy. Henry was able to do it with an OS top tube, Serotta achieved it with OS DT and ST around the BB. Many others have been able to dampen it with a roller bearing HS. There are likely other ways to do it as well, but so far the only post-build method of addressing shimmy is to change the headset (or to be sure to bring your knees with you).
For Mike: I'm curious. Henry had Fitz build his bikes. Did the conversation about shimmy ever come up during your Fitz' build process? Or was this built more than three years ago?
I love all of my bikes, my headset and/or knees address shimmy when it happens (I'm very familiar with the conditions in which it occurs more frequently), so I'm not willing to sell them just because they shimmy at high speeds. I hope you find a good IRD headset, practice using your knee on a top tube when descending, and continue to enjoy your custom Fitz.
David "Shakin', Shakin' Shakes" in MT