Two years back I could suggest you some US providers that accepted international accounts, and charged reasonable rates, and had almost no "requirements". They either merged with someone, don't offer the service to int customers anymore, or the "requirmeents" went from none to many.
You can probbaly get PayPal (accepts int'l customers), 2CO.com, etc.
Do a google search on "credit card processing", "merchant accounts", "international merchant accounts", "international credit card processing", etc. and check out the results.
Also, a lot depends on whether you want to sell off your site through a backet check-out, or need also capability of manually entering card transactions through an internet processing terminal (called "manual entry"), whether you need capability of recurring charges, etc.
Beware, many processors do nto accept certain kinds of businesses. No-go is online porn, gambling, etc. very few processors accept those, and at high discount rate (the fee you pay to the processor for each transaction). MANY PROCESSORS ALSO DECLINE ANYTHING THAT DOES NOT SHIP PHYSICAL GOODS - so service providers (subscriptions, telecom, travel, etc.) are ruled out.
Your best bet is to do a search as advised and check out the webpages that come up in the search, in Q&A you usually get information on what kinds of business are accepted, what is the approximate discount rate, what are the requirements, and you can do application online. You can also contact them directly via phone or email to get your questions answered.
I just checked one -
Credit Card Processing, Merchant Accounts, Accept Credit Cards - and they do not require SSN on their application and have "other countries" option in their application - may be worth a look and contact to see if they can help.
