wired mic -> bluetooth adapter -> android smartphone for recording possible?
OK, so I have an ANSWER.  I know for sure that the Pryme BTH-300 can accept a microphone plugged in via 3.5mm and sent the external mic's audio to a device via bluetooth (I have one myself).  The only bummer of the Pryme BTH-300 is that the audio output, if you're listening to music, for example, is poor. 

I'm going to try 
Sony RM-X7BT
which has a microphone input as well as an output that it can send via bluetooth to your phone.  I'll try to post on here my findings, but on Amazon for sure.