I said I would get back to this topic with some notes on my sources and here they are. The first comes from Merriam-Webster’s Dictionary of English Usage (1994). I love this book, but unfortunately this is a case where it comes off looking rather judgmental.
We next come to two separate constructions involving coordination, usually with and. The first is characteristic of less educated English, or, as it is delicately put these days, non-mainstream varieties of English. This is the use of the objective case [me] before the verb when the pronoun is coordinated with a noun or another pronoun:
Me and my baby goes back and sleeps the day – Anonymous speaker, quoted in Walt Wolfram, Appalachian Speech, 1976
Quirk [et al. 1985] says that the objective pronoun can even occur in the position next to the verb. Wolfram notes that the objective pronoun does not occur by itself in subject position, only in combination with another noun or pronoun. (p. 778)
It’s unfortunate that MWDEU uses the term “less educated” and then cites a speaker of Appalachian English because this “non-mainstream” usage of the objective pronoun me can be found in the mouths of everyone everywhere. Seriously, just go listen for it and you will find it. But would they call it “less educated” if the source was a politician or professor? MWDEU even makes a note of how the objective case of the first-person singular pronoun seems to be the unmarked case used “everywhere there are no positive reasons for using the nominative” (p. 778). What they should claim is that the nominative (or subjective) case is required only in the subject position directly before the verb in standard English varieties. Another thing is the last sentence of the block quote above. It shows that no one – not even the speakers of “less educated English” – use me alone in the subject position. With the exception of Cookie Monster, of course.
The next source is Fowler’s Dictionary of Modern English Usage, 4th edition, edited by Jeremy Butterfield. This is a good edition of Fowler’s famous usage guide. Check it:
There are many contexts in spoken or informal written English in which me is the normal form, and to use I would sound inappropriately formal. (a) At the head of clauses introduced by conjoined subjects me is very common in informal conversation, but will be considered non-standard by some and is best avoided in other kinds of speech. It should not be used in writing except to convey the authentic flavor of speech. [Examples given] Of course, in standard or formal speech or writing the structure X and I is used. (p. 509)
Short, sweet, direct and correct. Nice.
Finally, there’s A Student’s Introduction to English Grammar by Huddleston and Pullum (2005). This is based off the much larger work, the Cambridge Grammar of the English Language. If you really want a momentous grammar of English, the CGEL is the book for you. It’s gonna cost you a pretty penny, but it’s so, so good. Anyway, here’s what they say about the topic at hand:
For many speakers the above rules extend to constructions where the pronoun is coordinated, but there are also many who use special rules for coordinative constructions. Note the status markers on the following examples:
 i. a. Kim and I went over there. b. !Kim and me went over there
Construction [ib] is not accepted as Standard English, though it is very common in non-standard speech.” [That’s what the exclamation point before the phrase means.] (p. 107)
Again, short and sweet. The authors don’t dwell on this usage, they simply mark it as non-standard and note that it is very common. That’s all we need. Why can’t advice articles do the same?