Enter the lottery every day-even when/if you are down in east Lothian it's not a long drive/worth it for TOC.
try to book the courses you want-(Muirfield, NB) will be difficult.
There is plenty to play (Elie, Lundin, New, Crail,Glen,Eden, Himalayas Carnoustie,Kingsbarns, Burnside, Dunbar,Montrose,Panmure, Kilspindie,Renaissance,Longniddry, Gullane,Luffness etc. etc) Many will work with you if you win the lottery and cxl/reschedule.
If you get one of the difficult 3 you mentioned,you will have an incredible trip paired with any of the above.