(I had to update my reply: I remembered incorrectly that you were using a Nexus 5)
I am sorry for such a bad experience.
You can always try a different ROM, I have not BT problems with the stock software on my Note3, hopefully there are better implementations for the Note2 too.
Of course I don't know your use-case and what feature might be imperative for you that is only present in CM.
As for Hint2Search, it feels to me that the issue is beyond the capabilities of my app. If all fails, and H2S turns out to be unusable for you you are welcome to send me your order number, and at least I can give you a refund.