I would not use a different safety factor for different methods of construction or bracing. The safety factor is simply how many times the glass is "too strong" in a perfect world. Much better to use a method of bracing that is sufficiently rigid that we can consider it does not bend at all.
I am not sure where this 3.8 figure comes from originally but it sounds sensible - to allow for the tank being knocked, minor blemishes or weak spots in the glass and is reasonably conservative. The consequences of a tank blowing out could be considerable. The bigger the safety factor the better.
Glass is manufactured to metric dimensions. Glass sold as 5/8 is 16mm thick. 16mm glass has manufacturing tolerances of 15.09 to 16.66mm. Better quality glass production will be more consistent and closer to 16mm.
The first thing I would do is run one of the calculators you have found at the low end of this tolerance for the longest side (10'x30") : 3048mm x 762mm with a thickness of 15.09mm.
Personally, if I was having a tank of this size built, I would calculate the theoretical thicknesses for rimless and for perfectly braced at a safety factor I felt comfortable with. I would then compare this to the recommendations of a professional and experienced builder to see if they tally. If the budget allowed, I would always go thicker and not tempered.
I can run the numbers for rimless for you tomorrow if you like. I just need to dig out my copy of Roark's formulas for Stress and Strain. The constants for a plate supported on three sides are not the same as for four. It's in my office somewhere but where it is, your guess is as good as mine.....