Well I have been going through the guide book and on line information for KR and decided that, though Christina recommended places on the west coast I will travel only on the east coast. This is because of the trains, distances and the fact that I want to get to Seoraksan. So the most compact tour seems to be:
14-16 Busan
17-19 GyeongJu
20-22 DanYang
23-24 Sokcho
25 Seoul
Of course subject to change.