I still dont have any idea how to figure out how to figure out the gain/hfe/beta for the calculations, It seems to me, that should be as simple as looking it up in a table on the datasheet.
The beta numbers 10 and 100 came from 2 different individuals, when I asked them where on the datasheet can I find the right value for my uses (20-240ma at 5v).
It seems to me, that there should be a few common resistors used with 2n2222 transistors, one for 5v, and other for 12v applications. the part is only good for about 1/2 amp (mine are smt, and only good for 350ma). I would think that I would find 5v circuits all had about the same value base resistor, and 12v circuits would have a different value, but the 12v circuits would all have a similar value base resistor.
It seems like it should be easier than it is, and it seems like I have to assume every transistor will have a beta between 10 and 100, and be prepared for every calculation in between.