Integrating wordpress with Magento

I have an e-commerce site built on Magento (www.designraaga.com) and I am looking to integrate it with a word press blog. But I want to use an independent theme for the blog from theme forest. A lot of the existing plugins used to integrate the 2 platforms do not allow for another theme to be used. Does anyone know how this can be achieved?

Thanks,
Nandita