Road closures?

Hi, I have a week off the first week of August and want to take a motorbike trip around the island. How can I find out if there are any road closures from the typhoon? I live in Tainan and want to take the southern cross island highway to the east coast, then straight up the coast to taroko gorge, then down past sun moon lake and alishan back to Tainan. We would like to be taking, highway, 20, 23, 11, 9, 8, 14, 21 and 18. Any info or help would be greatly appreciated. Cheers