Quite a few walk alongside throttles are thumb ones, just like any normal thumb throttle, and it was those I was thinking of.
As for the 350 watt motors, with any motor the actual power depends on the controller, so a 250 watt controller can be used with them, though that would defeat your objective. For speed governing it depends on the motor type. A crank motor e-bike can be simply restricted to 25 kph by arranging the top gear so that it runs out of steam at that speed and some makers do just that. A similar result is achieved with a hub motor by specifying it's rpm to give 25kph maximum in the wheel size it's mounted in. Some crank drive e-bikes use a rear wheel magnet sensor for the crank motor to be able to sense road speed from the magnet pass frequency and cut at that.