Given the gear you are working with, and the position you are in for mixing, I think I would probably try it your way first. If you want to EQ the whole mix, then yes I would run the EQ before the compressor, but you wont hurt anything if you try it both ways. Only reason I run the eq first is - no matter what you might hear elsewhere - the eq will boost the level of the overall signal if you start boosting freq notches. (That's why that eq knob is called "Cut/Boost"!) If you boost some of the lower freqs, it can potentially drive your overall output levels up to the point of clipping. Small boosts to the higher freqs may not effect your overall signal level at all, even tho you can hear the difference.
By running the compressor second, I can change the eq and hear the changes in tone and still tame the signal levels I might create by boosting the eq. But this works for me because in my basement studio I eq and compress individual channels/instruments.
Just be careful not to boost things so much that you start pumping the compressor, thereby "squashing" your entire output. If you have a hard boost/peak at some low mid or low freq notch that makes your output signal spike, for example a kick drum or certain bass notes, the compressor (if it's compressing the entire output mix) will drive down the level of the entire mix just to tame that one spiking freq.
Hope this helps.....