I rarely try to overtake pedestrians directly when off marked multiuse paths. Instead I stop pedaling and walk the bike while saying nothing. The persistent tick-tick noise activates their awareness after a few seconds, but I have to wait for a sign, and sometimes none appears so I will walk the whole block and overtake at the intersection. Regardless, they like that noise much more than a voice or a bell, because it's a bike that isn't imminently bearing down on them, so it primes their expectations.
This is facilitated by defaulting to the lowest gear, setting the saddle position low, and letting yourself cruise slow most of the time. Everyone, whether car, bike, or pedestrian, wants to default to "never stop, always be moving". But sometimes you have to explicitly yield and the adjustments away from efficient road cycling help with doing so.
A loud freewheel is probably as close as it gets. I'd guess a loud freehub could work too, but I like my bikes old, so no freehubs. Maybe some sort of jetsons noise generator.
https://www.google.com/search?client=safari&channel=iphone_b...
https://granite-design.com/products/cricket-bell
I use this when i ride along a shared-use path.
It makes no difference. Either people are walking in a group and talking, so they don't hear it, or they have earphones in, so they don't hear it.
Possibly some kind of laser beam thing that sweeps the ground in front of you might work?
That's what the TFL bikes in London do[0]:
"The Blaze Laserlight is fixed to the cycle frame and projects a green cycle-shaped image onto the ground around 6 metres ahead of the cycle."
[0] https://tfl.gov.uk/modes/cycling/santander-cycles/blaze-lase...
Before I did my licence I was a firm believer in "no earbuds on the road", but after a few driving lessons I got so used to taking in the traffic situation with eyes only that I quickly converted to an earbuds all the time cyclist. A few years later I stopped driving so much and my cycling reverted to ears-always-open without me even noticing.
There are cheap bells that you mount on the handlebar but they tend to break easily (and don't produce much sound; typically just one ting). Decent bikes have a more sturdy design, see for example https://en.wikipedia.org/wiki/Utility_bicycle#/media/File:Du... (it's on the left, wrapped around the handlebar next to your hand). These tend to produce more sound.
In my experience, though, the worst sidewalk speeders are on skateboards or scooters. (I'm not saying you shouldn't skate; rather, when there was a close call or a collision, that's what they were barreling by on.)
My usual approach sequence is bell first (very early/far, only to soothe my nerves when the walker later starts that "should have used a bell!" tirade - sometimes a dog hears and understands that early bell and notifies its human) then generous freehub noise (first stage of "notice on their own"), then more bell and when I'm close, already effectively at walking speed, a short burst of blocking the rear brake. Unsurprisingly, people who appeared completely deaf to the bell right behind them a second earlier seem to hear even the tiniest scratch of a tire loud and clear...
Why couldn't you just ask (or require) bicyclists to use bells or horns of some sort? Pedestrians would get used to the noise after a while.
You are absolutely right. As a cyclist there isn’t really any good way to reliably avoid startling a pedestrian in a mixed environment. Even if you do the even more conscientious thing and you slow all the way down to match speed with them, and then “walk” with their speed for seconds and softly anounce your presence with an “excuse me” there are still some who get startled. I have had people act after all of that as if I tried to murder them. And I totally understand them! From their perspective they were all alone and “all of a sudden” a cyclist poped into existence behind them. And in their subjective reality they have just avoided a collision by jumping out of the way of some “crazy speeding biker”, but that biker only exists in their imagination. An outside observer would see a bike slowly catching up and matching speed with them, with zero chance of collision no matter what they might do, but that is not what they seem to experience.