No there aren't. And I fully support giving out visa by the hundreds of thousands to foreign students who are qualified and willing to pay the exorbitant out-of-state tuition fees. You know, the folks who are following immigration rules, spending money here, want to succeed through hard work and talent, and who have the ability to make the world a better place (many stay here, and many go back home to improve their home countries).
As for the "great universities in China"... not one is ranked in the Top 100 in the world (as ranked by SHANGHAIranking.com), while the US has 52. The top 3 Chinese universities (their Harvard, Yale, and MIT) ranked in the same grouping with Baylor, Case Western, Emory, Tufts, Virginia, etc (#101-150)... certainly some decent US campuses, but not exactly global powerhouse universities.
In the Top 100:
The US has 52 (Texas A&M being #96)...
Including all of the Top 4... 8 of the Top 9... 16 of the Top 18... and 26 of the Top 34.
(In the Top 34, there are 2 in Japan, 1 Swiss, 1 Canadian, 4 British... and 26 US.)
The rest of the planet in the Top 100:
UK has 8 (ranks #5, 9, 20, 22, 38, 45, 59, and 63)
Switzerland has 5 (19, 56, 66, 90, 96)
France has 4 (35, 42, 67, 95)
Germany has 4 (49, 49, 53, 94)
Australia has 4 (44, 74, 85, 88)
Canada has 4 (24, 37, 67, 90)
Netherlands has 4 (57, 77, 82, 100)
Japan has 3 (21, 26, and 78.. and not exactly a friendly place for Chinese)
Sweden has 3
Israel has 2, as does Belgium, and Denmark
Norway has 1, as does Finland, and Russia (#84)
When you are focused on Education (as almost EVERY Chinese person with ANY ability is, having it hammered in from birth, by every section of their culture), the US is by far the best choice for your best possible future.
But, according to the other poster here, the Chinese are the smartest people on Earth, so what you're describing is simply impossible.