Hello dude, another one from China here. I am 24 and currently studying at BU in my 4th year as undergrad. I have applied to several MA programs in Classics, Tufts for example. And like @Sappho618 said, they do offer scholarship.
As far as I know, the goal of most MA programs and postbacs is improving your language skills, which ultimately helps for PhD level studies. The faculty here told me that the MA program at BU merely focuses on language. In order to get the degree, there is one particular exam on sight readings. And I believe this would be the same for postbacs, because I am currently taking Greek class with grad students who had postbac experiences. They are definitely confident and excellent at grammars, vocabs, etc.
In terms of finance and age, I cannot offer good advice. Anyways, good luck!