An approach to deliver intense ion beams of refractory radioactive isotopes utilizing in-trap ${\beta }^{-}$ decay is demonstrated using the gas-filled ISCOOL ion trap at CERN-ISOLDE. Ion beams of ${}^{97,98}$Rb${}^{+}$ and ${}^{98}$Sr${}^{+}$ were injected into the ion trap, where they underwent ${\beta }^{-}$ decay and the daughter ions were successfully confined in the same trap. The produced singly charged ions were subsequently extracted and identified using the ISOLTRAP multi-reflection time-of-flight mass spectrometer, where the beam composition was analyzed as a function of trapping time. Modeling the observed time-dependent populations of the parent and daughter ions using the Bateman equations reproduces the isotopes’ known half-lives, thereby confirming production via in-trap decay, achieving an overall efficiency for the singly charged daughter beams on the order of {1$\%$} relative to the parent intensity. Using this method, delivery of a singly charged atomic ion beam of {${}^{98}$Y${}^{+}$} is thus reported for the first time at ISOLDE. These results demonstrate a practical and operationally simple method for delivering refractory isotopes at {thick-target isotope-separation-on-line (ISOL)} facilities, opening new opportunities for nuclear-structure studies of chemically challenging isotopes.