This is what my semi-reliable sources say:
"The usage of "like to" to mean "about to" or "on the verge of" is more commonly found in certain regional dialects or informal speech patterns, particularly in parts of the southern United States and certain areas of the United Kingdom.
In the southern United States, particularly in states like Georgia, Tennessee, and Alabama, you may come across this construction in colloquial conversations. Similarly, in some regions of the United Kingdom, such as parts of England and Scotland, this usage can be found in certain dialects or informal speech patterns."
I've lived in the southern regions of England all my life and I've never heard it. Note that according to this source, the meaning is equivalent to 'about to' so I can see why 'I felt like' is a reasonable paraphrase of an idiom that most listeners would be unfamiliar with.