Your GRE scores, GPA, and your research experiences would be your advantages over other international students (if you don't mess up GRE too badly).
Try to get solid recommendation letters from your profs. In a small school (probably a small department as well), getting to know your profs is crucial, and letting them know you is even more important. Make sure your profs can provide strong recommendation letters.
It's important to show grad schools that you are capable of conducting research and you can and enjoy studying/doing research at a graduate level. Use your liberal arts background and write a good personal statement.
You should try to take advantage of your background, and show them what you have done and what you are capable of doing in the near future.
I would suggest that you apply to a good range of schools, top/mid/safety. Schools ranked between 40 and 50 would be your safety picks for sure.
I am an international student studying in a small liberal arts college as well. Feel free to ask me any questions that you have.
Stay positive. Best of luck.