I recently had a similar problem, and I share in your frustration. I came to the Church married to an unbeliever a few years ago, and have moved to several different cities since then, receiving communion (following confession) without a problem. Here in my new location, I ran into problems at the Greek parish, where I was told I couldn't commune until my wife became an Orthodox Christian. Through sheer persistence (I think), I was allowed to commune once at the Greek Church, which I really came to prefer, but under the 'condition' that I bring my agnostic, unbaptized wife to church with me as much as possible with the aim of her becoming Christian... soon. This just isn't going to happen. I have had to begin looking at two other jurisdictions in town. I see I am fortunate to even have that option.
I know this is probably not that helpful for you, Victoria, but yes, from my experience and discussions I have had with priests from various jurisdictions on the matter, the Greek jurisdiction (here in Canada, at least) tends to be less accommodating than others regarding mixed or non-Orthodox marital arrangements. I hope that you can come to a satisfying agreement with the priest in your location. I suggest you ask him about getting a dispensation. I was told by the Greek priest here that this could be arranged under certain circumstances (although I am not sure what they are, exactly). I understand how frustrating matters like this can be and wish you all the best.