I"m not sure it's the latakia that you're reacting to. There are several components to Epiphany, including a topping, so it's kind of premature to assume it's the latakia. Also, as has already been pointed out, Epiphany is VERY light on the latakia. So light, in fact, that I can't in good conscience describe it as an English blend of any sort (I call it a traditional American burley blend). It contains primarily burleys, plus some VA, some perique, and some latakia.
If you need to mix it with something, I'd suggest Carter Hall.
But, in all seriousness, I'd also sample some blends that actually have an appreciable amount of latakia before assuming that's the problem. Try some Frog Morton, for instance -- that's a very mild blend that people who are just now starting to experiment with English blends tend to like a lot.
Out of curiosity, how long have you been smoking and what blends have you tried? Ever had heartburn with any particular blends before?