No set of case marking elements both participate in agreement and are independent morphemes.
Standardized
IF a relational marker (case, adposition) participates in agreement, THEN it will not be an independent morpheme. IF a relational marker (case, adposition) is an independent morpheme, THEN it will not participate in agreement.
“preposition-repetition” in Old and later non-literary Russian, Old Czech, Old Serbian, Lithuanian (Balto-Slavic, IE), postpositions not governing an affixal case in construction with demonstratives in Hungarian (Uralic) (Plank 1995: 63-64, 102, with references)
Kilby 1981: 118 refers to “efficiency” and “noun-identification” as the two main motivations for the incompatibility of separability and agreement.