Ah, perhaps we're speaking past each other. I had in mind a BLS field situation as described by the OP. Obviously if you have more resources available (better means of airway management, pharmacotherapy, etc), they'll be more effective than any "stretch and squint" BLS solution. On our humble trucks the question is often how effective you can be with what's available, not what would be optimal if you had it.
Could you clarify what you're referring to by "flow"? I'm afraid I'm not catching your drift.
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Flow does not necessarily equal FiO2. It seems in EMS a "high flow" device means giving an FiO2 of 1.0. The FiO2 is dependent upon the minute volume or tidal volume demand. A high flow device is designed to meet that demand.
If you actually know the limitations of the oxygen device or how it works you might be more effective at making the most appropriate decision for transporting this patient. Wouldn't teaching the basics of your equipment be more beneficial to the BLS EMT rather than throwing in stuff which will just exhaust the O2 tanks and not provide adequate FiO2 and/or flow to meet demand? Call ALS and/or a helicopter. Don't waste time running your O2 tanks dry on a futile delivery method. The headlines on your Med Directors desk will read "ran out of O2" rather than heroic rigging attempt of an O2 device. Trying to pull a MacGyver should not supersede education. Even MacGyver had a strong foundation academically and experience before rigging up things to blow up.
Of course, re-educating the EMT about the "shock position" and time of its usefulness would also be appropriate for a patient such as this.