Despite you saying in the thread title that you don't like latakia, I think a lot of the Frog Mortons actually had quite a bit of latakia, but very little orientals. Which would be the reverse of something like Early Morning or Presbyterian or Red Rapparee. Which is to say I guess, you may or may not like Presbyterian, but either way, it won't bear much similarity to the Frog. But then, really not much is like it. And it also depends on what about it you're missing.
If you like the light vanilla topping that was on some of the Frogs, Sam Gawith perfection might be worth trying. It's got more oriental and less latakia than Frog Morton though. So it definitely won't be the same.
If you're missing the sort of thick creamy smoky fruity incense quality, then you might go the other direction from Presby and try a heavy lat/light (or no) oriental blend. There aren't a lot though. Maybe SG Commonwealth? Maybe Sillem's Commodore flake?
But really, if what you miss is the exact Frog Morton on the Town experience, you'll probably be happier in the long run spending some patient time trying to score some tins of it in the Tobacco for Sale/Trade section here, or watching tinbids for a while.