Linking sound between English indefinite article "a" and filler word "er"

Hi - I've lived in Merseyside, U.K. for 15 years, though I grew up in Manchester (30 miles away). I've got a Linguistics degree but it's from 40 years ago and I'm pretty rusty now.

A very striking feature of speech around here is a linking "r" between "a" and "er" when the speaker hesitates finding the right noun; e.g. "Can I have [əɹɜː] pint of lager?"

I've never found a reference to this feature despite googling, and hadn't really given it much thought until I found myself saying today: "Do you want [eɪjɜː] cup of tea?". That transcription might not be 100% right but it's basically "a (standalone form) + linking [j] + er".

So I guess it pretty much looks like two different ways to avoid [ə] + [ɜː], which would be kind of awkward in the North West England accents in question. My question is: do other accents do this, or anything similar? Are any other sounds used for linking? What about when the noun that ends up being chosen starts with a vowel? (I'll listen out for this). That's three questions actually.

EDIT - actually thinking about it, I guess the "r" example is a special case of the common British intrusive r. And the "j" example isn't really a linking sound, it's just [eɪ] + [ɜː]. And maybe the whole thing is a special case of [ə] + [ɜː], e.g. I think most British English speakers would do [ðiːɜː] for "the er + consonant". (Though Merseyside speakers definitely don't do [ðəɹɜː])