This Sheet collects some sources relevant to the question of whether or not you are permitted to destroy Chametz on Erev Pesach that contains Peiros Shevi'is.
There are few if any sources on this topic.
One recent source is a an Article by Rav Nesanel Aerbach in the Journal Emunas Itecha (111, NIssan 5776) published by Machon HaTorah V'Haretz. The sources (other than the last two) are reflected therein.
(ז) אָמַר רַבִּי מֵאִיר, מִדִּבְרֵיהֶם לָמַדְנוּ, שֶׁשּׂוֹרְפִין תְּרוּמָה טְהוֹרָה עִם הַטְּמֵאָה בְּפֶסַח. אָמַר לוֹ רַבִּי יוֹסֵי, אֵינָהּ הִיא הַמִּדָּה. וּמוֹדִים רַבִּי אֱלִיעֶזֶר וְרַבִּי יְהוֹשֻׁעַ, שֶׁשּׂוֹרְפִין זוֹ לְעַצְמָהּ וְזוֹ לְעַצְמָהּ. עַל מַה נֶּחֱלְקוּ, עַל הַתְּלוּיָה וְעַל הַטְּמֵאָה, שֶׁרַבִּי אֱלִיעֶזֶר אוֹמֵר, תִּשָּׂרֵף זוֹ לְעַצְמָהּ וְזוֹ לְעַצְמָהּ, וְרַבִּי יְהוֹשֻׁעַ אוֹמֵר, שְׁתֵּיהֶן כְּאֶחָת:
(7) Rabbi Meir said: From their statements we learned that one may burn ritually pure teruma with impure teruma when removing leaven on Passover eve. The rationale that applies to the two previous cases applies here as well. Since both items are being burned, one may disregard the fact that one item will assume a higher degree of ritual impurity in the process. Rabbi Yosei said: That is not the inference from which the halakha in the case of ritually pure and ritually impure teruma can be learned. In those first two cases, the two items are both ritually impure, albeit at different degrees of ritual impurity. Rabbi Meir is referring to the combination of impure teruma with pure teruma, which would render pure teruma ritually impure. And in fact Rabbi Eliezer and Rabbi Yehoshua, who disagree with regard to the burning of leavened teruma, nevertheless concede that one burns this ritually pure teruma by itself and that impure teruma by itself. With regard to what did they disagree? They disagreed with regard to whether one may burn teruma in abeyance, i.e., teruma whose purity is uncertain, and definitely impure teruma together, as Rabbi Eliezer says: This teruma in abeyance should be burned by itself, and that impure teruma should be burned by itself; and Rabbi Yehoshua says: In that case, both of them may be burned as one.
(ה) וְעוֹד אָמַר רַבִּי יְהוּדָה, שְׁתֵּי חַלּוֹת שֶׁל תּוֹדָה פְסוּלוֹת מֻנָּחוֹת עַל גַּג הָאִצְטַבָּא. כָּל זְמַן שֶׁמֻּנָּחוֹת, כָּל הָעָם אוֹכְלִים. נִטְּלָה אַחַת, תּוֹלִין, לֹא אוֹכְלִין וְלֹא שׂוֹרְפִין. נִטְּלוּ שְׁתֵּיהֶן, הִתְחִילוּ כָל הָעָם שׂוֹרְפִין. רַבָּן גַּמְלִיאֵל אוֹמֵר, חֻלִּין נֶאֱכָלִין כָּל אַרְבַּע, וּתְרוּמָה כָּל חָמֵשׁ, וְשׂוֹרְפִין בִּתְחִלַּת שֵׁשׁ:
(5) And furthermore, Rabbi Yehuda said: Two disqualified loaves of a thanks-offering are placed on the bench in the colonnade in the Temple as an indicator. There was a specially designated place for these loaves in the Temple. As long as the loaves are placed there, the entire nation continues to eat leaven. When one of the loaves was taken away, the people know that the time had come to place the leaven in abeyance, meaning that they neither eat nor burn their leaven. When they were both taken away, the entire nation began burning their leaven. Rabban Gamliel says that the times are divided differently: Non-sacred foods are eaten the entire fourth hour, and teruma may be eaten during the entire fifth hour. Since it is a mitzva to eat teruma and burning it is prohibited, additional time was allocated for its consumption. And one burns all leaven including teruma at the beginning of the sixth hour.