Can you provide the data for your statement that "...but the lines are overloaded at this point..." ?
At what point do you overload 3/16" tubing in terms of volume per unit time (gal/hour or similar)? What does "overloading" mean in practical terms, i.e. maximum recommended Taps before sap volume starts decreasing. A plot of this as you add additional taps above the recommended maximum would be helpful. I'm not sure if a well-constructed study exists for this.
The reason I ask is that I've had great results over 5 seasons on 3/16" tubing from 25-30 taps per line, lines are ~800 feet long measuring 26" of vacuum at the end tap. The first 300' of tubing from the collection tank has 75' of drop. This past season, I added about 5 taps per line and noticed significantly less sap per run and over the course of the season. Next season I think I will conduct my own study.
Thanks for any help you can provide.