http://www.probrewer.com/library/kegs/keg-safety/
That refers to commercial kegs, that don't have a PRV as part of the design - it's all true, just not directly applicable to a Corny keg whish is what I think we are talking about here.
Lets go back to getting the right amount of fizz into Soda Water
At a given temperature and pressure, given time a known (fixed) amount of CO2 will go into solution, the equation in the Braukaiser link above will give you the right answer for beer, water under the same conditions will take up slightly more CO2, but not much more so lets just use the equation and tables we have. This amount is called the Equilibrium Point
The other key components are Time and Contact Surface Area.
The more surface area exposed to pressure the faster the equilibrium is reached.
A keg being around 200mm in diameter presents about 0.0314m^2, if you put an airstone in the bottom of the keg and bubbled the CO2 through the sinter you would be creating millions of small bubbles with lots of extra (the 200mm dia is still there to) surface area for the CO2 to diffuse through and go into solution.
Soda water typically has 6-8g/L
So using the equation from Braukaiser at ~5oC you need about ~125kPa to get 6g/L and ~200kPa to get 8g/L
Well within your current reg's capacity. Which just leaves Time.
Cranking up the pressure will force the CO2 into solution faster - downside is you will likely overshoot, it's very hard to predict accurately.
Other option is to increase the surface area, one common way to do this is to shake the keg, get it cold, sit down, balance the keg across your leg and rock it back and forward until you stop hearing gas going in.
Another is to put an airstone in the bottom of the keg and gas it through the airstone - you can get a spare hatch with a line and airstone fitted, You could extend the short diptube on the gas in with some food grade line and an airstone... lots of options.
With an airstone, and the right pressure setting you should be able to accurately and repeatedly be able to get exactly the amount of dissolved CO2 you want, in less than an hour.
Because you are limiting the pressure to exactly what you want you wont over carbonate, it is a good idea to start the CO2 flowing with the PRV open to displace any air, after a couple of minutes close the PRV and let the keg reach its target pressure, best to leave it overnight, just to make sure it's fully equilibrated and enjoy.
Personally I add a bit of Potassium Bicarbonate (look at a Schweppes Soda water label, that's the Mineral Salt), modifies the pH and tastes way better.
Mark