<p>None, students on a H-4 visa have to apply as international students at (almost?) all colleges (most colleges consider everyone who is not US citizen or permanent resident (some add Canadian or Mexican citizens) international). And I would be curious where on the Olin website it says that they only consider you an international applicant if you need an I-20? I cannot find a clear statement about that, but their admission inquiry form says:
"Citizenship Status: - U.S. Citizen or Permanent Resident - International Student", which would make me believe that H-4 visa holders would be considered international as well.</p>
<p>By the way, I would not recommend going to college on a H-4 visa because one is not allowed to work at all (not even unpaid internships during the summer). Graduating from college without any work experience won't get you a good job, especially not if your employer would have to sponsor you for a working visa.</p>