Alright, so it turns out that we can outwrestle Milan with just 30 reflexes, 30 unarmed, and 70 wrestling, along with the strength booster from Stoyan. It's possible to get all of that by turn 10 while still hitting the 10 music and 50 invention that I'm using for Zolot, and they're all stats that my last run eventually gained anyway for Radomil and Lorkas' wrestling quests (who knew that wrestling was such a key stat for an empress). So at least in theory it should be feasible to get the full Tharkas Prime cabinet while still denying Lukamir all his pledged electors. I think it's very likely that it's possible to get 29 votes.