A
modest suggestion:
Select the 59 Talossans who have been citizens for longest. Reduce that number to 26 (1+9+7+9) by lot. Allow each of the 26 to nominate three other individuals. Any Talossan who receives at least two nominations goes into a pool, but if the number of those is less than 30 then the 26 selected by lot get to make another nomination until the number is at least 30. The 30 are reduced by lot to 16 (7+9) who become the members of the college, then any members of the council of regency (UC) who are not already members by nomination get added as ex officio members. The senior judge of the UC presides over the college with the title of moderator.
Then you make the college assemble in person and lock them in Merrill Hall in Abbavilla until a new king is selected. After each unsuccessful ballot they send up red smoke from the chimney (does Merrill Hall have a chimney?). A successful ballot is marked by green smoke, and the appearance of the moderator of the college on the balcony of Merrill Hall (does Merrill Hall have a balcony?) to announce
habemus regem!
Seriously, though, I do like the suggestion Eiric made.