Mike, This is a several step process.It's hard for me to believe it could work.
For one, 'optimum barrel time' seems a misnomer. You're really theoretically identifying 'terrible barrel times'. Right?
That is, the points where vibrations hit the muzzle. A condition where bore dimensions change, right at the muzzle, by a vibration wave.
But actual optimum barrel time remains unknown, as there are more than one type & source of vibrations and barrel movements, all interfering with each other, with some providing MV compensation.
Then optimum powder charge, or powder tune, is separate and different from barrel tune.
Neither is predicted with ANYTHING.
Running QL or GRT to get a bullet exit time for a given bullet and powder charge tells you nothing.
First you have to review the Chris Long paper and his theory on frequency and harmonic nodes.
His calculation is supposed to tell you at what time the bbl. is pointing consistently in the same direction.
You have to use his spreadsheet to calc. those OCW milliseconds, you then use GRT and or QL to find a bullet/powder combination that gives you a bullet exit timing that matches most closely with the Chris Long Harmonic Node bullet exit time when the barrel is consistently pointing in the same direction.
Haral's work using Finite Element Analysis is similar.
There are several steps, and several programs involved in these estimates.
They are not spot on, but in my experience get you close enough to save time and components.
But, its not something done with or by GRT or QL alone.