@Robert_garfinkle,

Hmmm.... I don't know of any scholarships specifically for studying oracle script. As an American, you might have a very good shot at something in Taiwan (http://english.moe.gov.tw/ct.asp?xItem=11981&CtNode=10632&mp=2). I'm not sure how those work out for studying classical Chinese, but it used to be fairly easy for US citizens to get support through the program.

Otherwise, your best chances for funding might simply be doing post-graduate work. There are universities like USC which have good East Asian programs which tend to be less competitive generally so good candidates with Chinese proficiency stand out and can usually get funding. MA students don't usually get much support across the US, but doctoral candidates can usually line up full support and it's often possible to do a concurrent MA, so that if you drop out after a year or two or decide not to finish your Ph.D. you'll still walk out of the program with an MA. And once you're in a graduate program it is usually easier to get FLAS support, etc.

The two people I'd try to get in touch with are John Cikoski (http://gkarin.com/cikoski/) and Richard Sears (http://www.chineseetymology.org/why_study.aspx). I'm sure they'd both have much better advice. Good luck.