I would say, what would help you, is a switch with high "hysteresis", which means when a switch actuates at a certain point, you have to release the key a certain distance, until it can actuate again.
Switch testers are nice to get a basic idea of the feel, but they don't help in this case, because the switches are not connected to anything, so you can't see, when you send a signal with the switch or how many.
I would rule out linear switches like red or black, because their actuation and reset points are very close together (= low hysteresis").
Clicky switches in the style of MX blues have indeed a higher hysteresis, which would explain your positive experience.
If you have access to old IBM keyboards (Model M and Model F): These might work as well.
Concerning size of the key: The spacing of the keys is pretty much standard. Depending on the shape of the keycaps, their top surface area isn't always the same, which might look like different sizes.
But there are some special manufacturers, who do make keyboards with bigger keys. For example:
http://www.bigkeys.comPS: I'm just wondering - maybe for such problems there's come kind of software/driver, that simply waits a certain amout of time after each keypress, before it accepts the next one. Shouldn't be too difficult and it wouldn't matter what keyboard you use.