Well I guess in the end it's up to whatever you and your spiritual father decide. With that said, and I don't mean to speak out of turn here, but I'm a little surprised that so many people think it's "never" ok to "pray with heretics"....(isn't heretic a pretty strong word for Chalcedonian Orthodox considering the agreed statements over the last 30-40 years?) We've had plenty of Ethiopian Orthodox come to our parish, because of the very situation you're in. They don't partake of Communion of course, but they certainly come and worship with us. I'm EO and have attended a Coptic Church, I just don't see what the big deal is. I feel just as at home in the OO Church that I feel in the EO. (sometimes more at home because most OO tend to be more welcoming to outsiders, assuming the people have been in America awhile)
I was also under the assumption that in certain circumstances if both the OO and EO Bishops agree, intercommunion can take place. In fact I'm 99% sure that is the case. I'm not saying I recommend you do that or even try to arrange that, only that I just don't see the problem in OO going to an EO Church and vice versa. It happens in parts of the middle east all the time.
I've also attended a Catholic parish, and again, I don't see the problem. Ideally we would always attend our own parish, or our own jurisdiction but that's not always possible in this country as you're finding out. Yes, praying from the book of hours etc is a good thing, but considering that you live SO far away from your Church, you'd essentially be turning your faith into a private religion, (just me and Jesus and my prayer book)...that's fine if you're a monk living in the desert for 10 years, because those guys are in communion with the saints, the angels and in union with God mystically. Yet for people with families I don't see how that can work out practically. I don't think you'll be able to maintain your Orthodox faith that way, and maybe not even your Christian faith. It's simply way too difficult to seperate your yourself from all Christian fellowship. You didn't say how often you can attend your parish, but I assume because of the distance, it must be only once or twice a year. Yes, monks and saints have gone decades, but then they're monks and saints...you're not. (no offense) I just don't see you maintaining your faith in that sort of context, and yes, I speak from personal experience. Of course my faith is weak, given over to periods of doubt, so if you're is strong, it might work out. But I'd be surprised if any OO priest would be so rigid is to tell you not to go to an EO Church. Not to take Communion is another thing entirely, but just to go and worship, (though without the Eucharist it's obviously not complete) and even fellowship, I really can't see any OO priest saying that. However he may and may do so for good reasons that apply to YOUR personal situation, but I don't think these things, as others have said, are "blanket" issues. Each person, situation, and spiritual life is different. So definitely talk it over with him and see what he says...in the mean time, I'm SURE there must be other OO in your area. From what I understand there are a lot of OO in the southern states.
Hope things work out for you...
Oh yes, edited to add that going to a Baptist Church regularly is probably a bad idea. Because their theology is so radically different than ours, and they're influence can be quite strong, so I agree with that for sure.