If I understand you correctly, after you conduct the long-term (24 hr) sort of pre-expansion period, you are now subsequently allowing (an additional) “1 gallon per 100' of expansion is allowed, even after the 24 hour preliminary pressurization is completed” for the actual acceptance test. I calculate of course 370’x (1 gal/100’) or 3.7 gallons of allowable make-up water for the short polyethylene pipeline.
I believe if you were alternatively testing e.g. 370’ of 18” ductile iron pipe (I suspect about roughly the same testing volume) per long-standing ANSI/AWWA C600 requirements, at lets say at 150 psi for a minimum required two hour test, I believe the maximum make-up water allowance for that comparable pipeline would be only about one gallon.
Since you are dealing with a relatively short buried pipeline, and with such a larger amount of water allowed to be pumped in for the hdpe, I guess I sort of understand your desire for an “alternate method” (after all with such a large amount of water pumped in to the buried line, and with all variables involved at that point, how can you be assured exactly how much of the make-up water is the pipe expanding and how much e.g. might be otherwise oozing out of imperfect, now buried fusions of joints, lateral connections, or installed flaws or damages to the pipe wall etc.? In other words, how are you really assured there is “no leakage” in the buried hdpe pipeline?)