To put frameworks of Responsible Innovation and Responsible Research and Innovation (R(R)I) into practice, engagement methods have been developed to study and enhance technoscientific experts’ capacities to reflexively address value considerations in their work. These methods commonly rely on engagement between technoscientific experts and social scholars, which makes them vulnerable to structural barriers to interdisciplinary collaboration. To circumvent these barriers, we adapt Socio-Technical Integration Research (STIR) for broader use within technoscientific communities. We call this adaptation: reflexive practitioner dialogues. While the primary aim of this article is to introduce and explain the methodological adaptation, we also analyze results from a pilot study with participants who are involved in research on contemplative practices such as mindfulness meditation. The analysis is guided by research questions that sought to assess whether and under what conditions the practitioner dialogues support reflexive and practical engagement with value considerations in participants’ work. The results indicate that reflexive practitioner dialogues can stimulate reflexive awareness of value conflicts and help re-direct decision-making responsively. We characterize the conditions facilitating such responsiveness as “value exnovators,” highlighting the oft-unacknowledged interpersonal relational practices that support collaborative engagement with value considerations. We suggest that “exnovation”—exposing the strengths of given practices for their improvement—can support R(R)I practices by directing analytical attention to their micro-level carriers.