Yeah, due to the design, it won't work like a Kahler or Floyd. Other variations of the Strat design, like the Blade Runner, seem to have more range, too.
Have you given any thought to a Kahler? Many players swear by it and it is not a FR...
The deeper a non locking trem goes, the less likely it is it will return back to pitch correctly.
Either get a floyd rose and a locking nut or just learn to live with this characteristic.
Have you personally tried the blade runner? I asked I'm another thread about the range and didn't get any answers.
Yes, it is on my Warmoth strat. It bends down and up more than a vintage Strat, but not like a Floyd.
it took me a while to think about it, but this will work for you:
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A Sophia trem. it's got the same stud spacing as a normal US 2 point trem, so no routing required. it has the locking system for the strings and it has the range.
https://sophiatremolos.com/collections/sophia-2-22-complete-series/products/sophia-2-22-tremolo
It is certainly a minor 3rd upwards, as that's what I like. But I never tested the downward range. The guitar is at the studio, right now. You can also send the company and email and ask what their system can be set to. It is a really great system, that feels good to use, too.
Guthrie Goven's signature model was designed because he likes a floating Floyd Rose, but doesn't like the locking nut. He has a regular nut and locking tuners, which can do the job just as well as a locking nut.
I actually emailed them the exact question, and the guy danced around the question and pointed me to their $400 locking unit, which is way out of my price range.
But would you would say that you have more than enough downward range to pull off *decent whammy bar antics? I'm not looking for full blown tom foolery, but I'm really mostly looking for a convincing dive bomb. Any time I try to do one it sounds more like a "half dive".