You're overcomplicating this.

Why not just pair the Bluetooth headset directly to the computer instead of your cell phone and use the computer to dial?

Or just get something like this?

http://www.frys.com/product/5556690?source=google&gclid=Cj0KEQjw17i7BRC7toz5g5DM0tsBEiQAIt7nLJuhHqu64LZxLMZpi4J3AN_1DW2aekehiHYpnuidi3QaAkr88P8HAQ

Heck, even something like this should work.

https://www.amazon.com/gp/aw/d/B01EFKFQL8/ref=mp_s_a_1_1?ie=UTF8&qid=1466862981&sr=1-1&pi=SY200_QL40&dpPl=1&dpID=41QsujqzZOL&ref=plSrch

Also, you can take a regular iPhone or Android headset, plug it into your computer's headphone jack, and make calls that way.