I'll tell you a story.
Usain Bolt, the world 100/200m recordman, is not faster than cheeta. He needs a motorbike or a car to be beat a cheeta. But even with a car or motorbike is unlikely is going to overtak a cheeta on the ground of savannah.
This to tell you are thinking about optimizations of a system while you need to choose the right system for the environment.
A 433 MHz based link and a strong modulation is much suitable solution than a BT class 2 device included in the phone.
And here the real hack, most of phones has an integrated FM receiver, higher sensibility than BT, a simple FM transmitter (88-108 MHz) and problem solved.