American with a little less than 6 months on ARC

The above question #5 sort of answered my question. But my ARC card is valid til December 10, I had planned to go during chuseok which is September 7-10th.
It's now June 14th, will I not be able to apply for the China Visa because i have a few days less than 6 months left? also because I will have exactly 3 months left on my ARC card. Will I be able to go?