you are saying repetition and completion can be separated so that we can have a frequentative perfective for actions that are both repeated and completed?
Yes, this is what I think. But I am not an expert, I am just a passerby, a native Polish speaker. There are several experts on this forum, who would be only glad to correct me here. :-)
I know that typical definitions of aspects associate frequentative with imperfective but not with perfective. But I was also happy to discover that there are different formal schools of thought on this subject, and some of them agree that the frequentative/iterative/habitual aspect is often successfully paired with perfective aspect .
I also came across two other publications that might be of interest to you. The dissertation  of Anna Katarzyna Młynarczyk attempts to provide a systematic mechanism for classification, creation and testing of imperfective/perfective aspect pairs:
The received view on Slavic aspect is that it is intrinsically complex, and that there is little hope of discerning any substantial regularity. We argue that this view is mistaken. We argue that the vast majority of Polish verbs really do come in aspectual pairs and that far from being a mysterious process, aspectual pairing in Polish is simple and regular. We introduce a classification of Polish verbs that pins down the mechanism of aspectual pairing in Polish. Our classification is formationally-driven: we divide Polish verbs into basic five classes on the basis of the patterns of aspectual affixation they enter into (we call affixes used for aspectual purposes 'formants'). But in spite of its essentially formal nature, our aspectual classification reveals considerable semantic regularity in the Polish verb system.
The most interesting parts of her work is the first half of the Chapter 1: "A little Polish Lesson" and Chapter 4: "An Aspectual Classification of Polish Verbs", where she presents and discusses her conclusions, which she obtained with the help of a program written in the declarative, logical programming language Prolog. Frequentative/habitual aspects, however, are outside the scope of her work and she looks down on certain forms such as "jadać" or "pisywać" as old fashioned, fossilized and not very significant in modern Polish.
Finally, Bartosz Wiland  deals with the issue of legal prefix (aspect) stacking and its order of precedence in constructs like this:
His style is very terse, but he provides many good examples that may serve as a guide to aspect stacking in Polish.
 ASPECT AND EXPRESSIONS OF HABITUALITY IN POLISH, Barbara Bacz, Université Laval, Canada, 2009:
 Aspectual Pairing in Polish / Anna Katarzyna Mlynarczyk - [S.l.] : [s.n.], 2004 - Tekst. - Proefschrift Universiteit Utrecht:
 Preﬁx Stacking, Syncretism, and the Syntactic Hierarchy, Bartosz Wiland, University of Poznań, FASL 20, MIT, May 13-15, 2011,