There is a pretty simple way to purge the keg of virtually all of the O2 before filling it with beer. First fill the keg with distilled water or sanitizer and seal it. Then hook up the gas and beer out lines and simply empty the fluid from the keg by 'dispensing' it from the tap.
Sure you may have a little residual sanitizer in the bottom of the keg, but I have to think it is a small amount when compared to the amount of the same sanitizer that is left on the inside of our 'wet' 12 oz bottles. If you have cut that dip tube, there will obviously be more liquid left in the 'empty keg'.
Since you are actively displacing the fluid with a controlled source, your CO2 tank, you can be sure that the contents of the keg at the end are almost exactly what you pumped in. I say almost because there is most certainly an amount of O2 or other gas that is produced from the sanitizer or water evaporating in the keg during the process. I am not sure of the math or science on this one, but I am sure that there someone much more educated than I here that can confirm (or disprove) this--or maybe even give the calculations for it.