Upvote:4
I believe I have a fairly strong case
Not at all. On the contrary, you seem to have significantly more ties to the US than to the Philippines.
Wait until you get a permanent, stable job, and have had it for at least 6 months. Then consider applying with substantial proof of your ties to the Philippines. Because the fact that you have an American boyfriend and a little cousin there, and that you are from the Philippines (not exactly a low-risk country), will make it harder for you to convince the embassy to issue the visa.