Well to be honest there's a lot of difficulties in dating foreigners. Aside from the skin-color aspect, you've got several things working against you:
1) this is probably the biggest one: different culture. I've dated a couple of foreign women (still am dating one), and the culture difference is definitely an issue. It's a lot to ask someone to just ignore it or put up with it; not everyone is prepared for that or wants to invest the energy needed, or deal with the inevitable issues. Some things to consider here: a) how good is your command of English? (And be realistic here; I've noticed a lot of Indians in particular think their English is great, but from an American perspective it really isn't, with a lot of odd phrasings, odd use of words, etc.) The accent is also an issue. b) How will your family take it? That's a really big issue I've found with people from other cultures: they're young and all into dating interracially, but their parents are completely against it, and that makes things very difficult. That doesn't mean we Americans never have family issues like this (we definitely do), but it's a lot less likely, especially if you're dating within your socioeconomic group (e.g. two white non-religious liberals aren't likely to have serious family issues when they try to get married). c) What kind of food do you like? Not many Americans are going to want to date someone who insists on eating their native food all the time, and never wants to eat a burger or pizza or whatever. There's a bunch more issues under this category, which can make it very hard to live with someone. Dating someone who's different and exotic can be fun, but after you get over the newness and novelty, and start thinking about having a serious relationship and moving in together, these issues will manifest and can break up the relationship. This kind of thing happens with Americans dating Americans too, but with someone from a very different culture you're at a huge disadvantage already, and anyone who's thinking long-term is going to think about this.
2) Looks. It's not just racism; different people are attracted to different types of people and looks. A lot of white men, for instance, are very attracted to far-east Asian women, but not black women. Some people from certain ethnic groups just seem to be more attractive to people from other ethnic groups than people from certain other ethnic groups. Another big factor here, though, is height: this is a lot easier for foreign women than men, because men don't usually care so much if a woman is shorter, but women almost always want to date men who are taller than themselves. Foreign men who aren't from western Europe are going to be at a huge disadvantage here because white American women tend to be rather tall. Finally, what kind of women are you pursuing? White, black, Hispanic? You'll probably have far more success with black women if you have darker skin, but have a good job. Hispanic women might also be interested: they tend to be rather short so a man who isn't really tall can still be taller than them. Sometimes men who are a little lacking in the looks department (but not too much) can compensate with a really great personality that wins over a woman, but that's not easy, esp. if you're trying to meet women online rather than at in-person events.
3) Immigration status. You said you have an H1-B visa. This is already a big red-flag, because it means you're neither a citizen, nor a permanent resident alien ("green card"). You can be deported at almost any time really, especially if something goes badly at your job. How many women really want to date a guy who may or may not be around long-term? If you were a permanent resident, you'd probably have an easier time, though it's hard to say how much.
It really sounds to me like you want to date women casually, rather than looking for a marriage partner; maybe I'm wrong about that. There's plenty of women who like to do that, but those women tend to be both young, and shallow. They're not likely to be interested in someone who isn't extremely attractive to them. I think a lot of foreigners have a perception, probably because of Hollywood, that American women are "easy". This isn't really true. It's true for a certain subset of them, but they're going to be divided into two groups: young women who want a really hot-looking guy to show them a good time (80% of American men who pursue them don't even meet this bar), and desperate women who you probably wouldn't be interested in anyway (fat, ugly, self-esteem problems, etc.). You're not going to hook up with some hot 26 year old woman who's a 9/10 if you're not also a 9/10.