Congratulations on your new role!
Definitely have a think about what your value proposition should be in reaching out to anyone to support your customer advocacy efforts. What's your win/win? For example, what are the Exec care-abouts for the roles you're reaching out to? It may be creating materials for public use that they can also use/adapt for internal comms or user adoption. It may be showing their fiscal responsibility in adopting solutions that are driving measurable ROI (if they have shareholders) etc. etc. All helps in positioning the benefit to them if they work with you on case studies and other activities.
If you're not getting much of a response from surveys, it's also worth thinking about behavioural signals plus real engagement, so you’re reaching out at the right moment versus sending surveys out 'blind'. This will help you identify moments of value instead of just 'happy customers' (e.g., expansion, big win, renewal, standout usage), which often helps with timing of requests.
Always happy to chat through if that's helpful. I've been in customer advocacy for more years than I care to admit, and learned a lot from the mistakes I've made along the way! 🤣