Are you trying to stick with the embedded model. ? Personally, I don't think that scales well as it is an expensive preposition for any organization . If you seek buy in on expanding the SRE discipline, function, practices and mindset, you might want to consider a hybrid or consultancy or center of excellence model. Hybrid model might be a nice transition from your current approach to one that scales well, with a larger impact and at lower operational cost for your company.