I often pronounce the syllabic 'r' as in English "badgers", but you can also roll it. Try saying "Strč prst skrz krk". (Don't actually strčiť prst skrz krk. Just say it.) The 'r' is used as a syllable nucleus, and as far as I know, it's rolled.
I pronounce the second syllable of "badgers" as {djyrz} though.