If the plan sponsor is not in a chapter 7 liquidation bankruptcy, a termination administrator is a qualified termination administrator “only if: (1) It is eligible to serve as a trustee or issuer of an [IRA], and (2) It holds assets of the plan that is found abandoned [under the QTA rule].” 29 C.F.R. § 2578.1(g) https://www.ecfr.gov/current/title-29/part-2578#p-2578.1(g).
Otherwise, a Federal court appoints an EBSA-selected cleanup fiduciary when no one applies to serve as a QTA (or none is eligible), no bankruptcy trustee or insolvency receiver serves, and the Secretary of Labor, acting by the Solicitor of Labor, brings a civil action. (The Labor department makes policy and strategic decisions about which situations to pursue, and which to ignore.) A District Judge typically follows Labor’s suggestion on who should serve as a cleanup fiduciary.
Some trust or insurance companies volunteer to serve as a qualified termination administrator; some don’t.
You might be in luck; Voya serves. https://www.askebsa.dol.gov/AbandonedPlanSearch/UI/QTASearchResults.aspx
If you know the plan’s administrator’s contact at Voya, consider starting there.