Sousaphone wireless mic problem: How to use Shure Beta 56A with wireless transmitter?

I am attempting to use a Shure Beta 56A to mic a sousaphone for live performance. Because the performer will be moving around the stage quite a bit, I am attempting to design a wireless transmitter rig that can mount to the bell. So far, I have used a GoPro mount attached to the bell with threading adapters to allow the microphone to sit comfortably at the sound source without shifting or excess body noise. See photo below for reference

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Samson makes a wireless transmitter unit that is specifically designed to mount on horn bells. Because this is the ideal form factor, I want to connect the Shure Beta 56A to the Samson ATX transmitter. See picture below for setup.

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The main problem with this approach is that the mic's rated output impedance is 150 Ohms (290 Ohms actual) whereas the transmitter's input impedance is 3k Ohms. For reference, the transmitter has an input gain range of 20 dB. The output from the mic is standard XLR and the input on the transmitter is mini XLR.

Is there any battery powered mic preamp that would work in this setup to change the mic level output to the line level input needed by the transmitter? As long as it has small form factor, there are plenty of places to tuck such a device. Am I totally barking up the wrong tree? Is there another way to approach this entirely? Thanks in advance for any advice!