Even when I Speak in Tongues in my private Prayer, I don't just begin doing it. I begin with Acknowledging Who God is, I worship Him and Honor Him with Praise, and I begin praying in my own language. The majority of times I never Speak in Tongues. When I do, it's when I am praying for something that only God can do and it's an urgent prayer between life/death, medical situation, or a dire situation that life brings to us on occasion. But more often than anything else, it's concerning Spiritual Warfare towards a spiritual battle for either myself or those I am aware of.
I said all of that to say this, to tape record and try to capture of the flow of God and Speaking in Tongues, would go against being real and true in the moment. It would be on your mind and then what you do will be out of self. So, I find it would be impossible to record, unless, someone [secretly recorded] your prayer without your knowledge.
I am too afraid of Speaking in Tongues out of my self to want to risk it. This is not a Game of Show and Tell for me. This is a Gift that is now a part of my lifestyle just like Discernment. The Holy Spirit does the WORK and it just happens to be coming from my person. When I Discern, the Holy Spirit does the Work and gives me the Knowledge. When I Speak in Tongues, the Holy Spirit does the Work and I Speak it because the Holy Spirit is aware of the urgency of the matter and how to connect to God better than I could ever try.