The South Oregon Coast has many attractions that you could easily spend two days without traveling too far up the coast, depending on how long you want to linger and explore.
DAY ONE: I would save a full day for Harris Beach State Park and the Samuel H. Boardman State Scenic Corridor. Plan your visit to Harris Beach for low tide and enjoy the tidepools and abundant bird life. There are many stops along the Boardman Corridor that offer easy access to stunning viewpoints and also some great short hikes. For short easy stops, consider Lone Ranch (beach access and tidepools), Cape Ferrelo (short walk to viewpoints), House Rock Viewpoint, Whaleshead Beach (steep, rough road to scenic rock formations and beach), Natural Bridges (short walk to an amazing view), Thunder Rock Cove (short hike to amazing views) and Arch Rock Viewpoint (easy walking paths with dramatic views).
DAY TWO: Otter Point State Recreation Site is a fascinating area just north of Gold Beach with interested rock formations of basalt and sandstone a short walk from the parking area. The drive north is very scenic from there, hugging the coastline to Port Orford. You will likely want to stop at several waysides for the views. If you continue north, make the side trip to Cape Blanco State Park to see the lighthouse at the end of the dramatic cape. If you save time to go as far as Bandon, you will be rewarded with amazing views along Beach Loop Drive. Must stops are Face Rock State Scenic Viewpoint and Coquille Point, where walking paths overlook amazing rock formations. The Coquille River Lighthouse can be seen from the south side of the river, or you can cross over and get a close look at it in Bullards Beach State Park.
Brookings to Bandon is only about 85 miles, but there is so much great sightseeing, I can’t image you can do more than that in two very busy days!