Here's a breakdown of the issues and how to correct it:
* Word Order: The sentence is in an unusual word order. The typical structure for this kind of sentence would be: "We found ourselves in such a plight that we had no choice but to radio for help."
* Subject-Verb Agreement: The verb "did" doesn't agree with the subject "we." "Did" is typically used in past simple questions or negations.
* Redundancy: The phrase "such a plight" is redundant with "had no choice."
Here are a few ways to rewrite the sentence correctly:
Option 1 (More formal): "Our situation was so dire that we had no choice but to radio for help."
Option 2 (More informal): "We were in such a bad way, we had to radio for help."
Option 3 (Slightly more dramatic): "We were trapped, with no way out but to send a radio distress call."
The best choice depends on the desired tone and context of your writing.