I was down to GW and Shady Grove and chose GW due to their flexibility, absolutely unfailingly kind, attentive and responsive staff, and the ability to move on to low stim/natural cycle IVF if I don't respond well to meds.
I would say either is fine. GW's stats last year were pretty bad, which gives me pause, but they do not turn anyone away. I also wonder if the natural cycle IVF lowers their stats, since it is less successful per cycle.
For someone young like you (sounds like you're young?), a low stim IVF may be enough to get you that baby!