I think you could get a relatively cheap order of simple glass pipettes (
quick search led me to 1000 for ~$30) with a fixed volume, and as long as the volume is small enough, which I think 2 mL should be fine, you can calculate how much dextrose you'll need to carb a single beer, multiply it by the total number you want to carb, know the volume of water you'll need to evenly distribute the sugar solution among that quantity of beer, and you're good to go.
Here is an example of a quick and dirty method to do what I think you're talking about. Based on the link you provided, it would take about 0.957 g of dextrose to carb a single beer to 1.5 vol CO2 (I took the first one in the table). Say you wanted to just carb 6 bottles, then you'd need 5.742 g of dextrose. If the total volume of your pipette is 2 mL (like the ones in the link), you'll need a total of around 12 mL. Simply add the sugar to the water and then add the full amount of each pipette (2 mL) to each bottle. When you're done, the solution should be gone, and each beer should have close to the amount of sugar required to carb to 1.5 vol CO2.
Potential annoyances with doing this might be measuring out small quantities of water/dextrose. You could probably do the water volume measurements a little easier by weight instead. A problem in doing it this way is that it'll be a different amount of sugar for different carb levels, but a simple spread sheet would be an easy reference.
Hope that points you in a direction that helps.