I'm not sure which "ethnic" you're talking about. But I do know a couple of short, dark skinned guys who got married to women in both Ukraine and Belarus (eastern european countries).
I also hear, from the guys I talk to there who are dark skinned, that gaming there is generally easier for them, although, they say that it's usually more polarized... like the women that like them really like them and the women who don't tend to say some racist shit to them (probably not considered a problem for them to say there).
But if you go there with money and providing at the forefront of your conversations, your mind, and your strategy, you'll probably end up with gold diggers. I mean, I honestly don't see how you wouldn't. I couldn't imagine those are very good relationships.
If you want a woman to be with you because she likes you, you should focus on building a romantic connection that turns into something more. Otherwise, you'll likely end up like one of those couples on 90 Day Fiance.