You need to let that other chapter go. It's water under the bridge. They are NOT an option for you and rejected you. Rejection is hard, but continuing to obsess about being in that sorority instead of focusing on what you have will not help you in any way. The superficial parts of sorority life are just that...superficial. There are many loyal sorority woman who don't love the color of their sorority. I know an AOII that doesn't like red, but she loves the symbolism behind it. When you learn why the founders chose those colors, symbols and letters it will have more meaning and won't be so irritating (even if you wish they picked a less obnoxious color!
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Just realize that recruitment is a huge act...a highly choreographed play. Some chapters are better at it than others. They know how to make you want them, but it doesn't mean they want you or that you'd be a good fit. Recruitment is a very artificial way to make friends. I mean really, how many friends did you make that ran up to you screaming and chanting before leading you to a chair to chat for 20 minutes then putting on the cheesiest play you've ever seen that everyone has to pretend was really awesome but in any other situation they'd be embarrassed to be a part of? See what I mean.
You've got an opportunity to make real friendships over the next 6 weeks with women who WANT you to be their sister. Give it a real try. Put the other chapter aside. Put in a real effort. Give you and the chapter a chance at a lifetime of wonderful memories. If you don't feel it by initiation, drop out. You can't do anything for a year anyway, so you have nothing to lose.