It depends on where in Amed you start your journey as to how long it will take to get to Lovina. Seeing you are going to Ubud anyway I would go to Lovina the east coast road and then travel from Lovina to Ubud through Bedugul.
East coast road should take you 3 - 3½ hr depending on how much traffic going through Singaraja.
Lovina to Ubud via Bedugul should take you around 3 hrs give or take. Again depending on traffic and how fast or slow going over the mountain range.
The east coast road does not have a lot of traffic until you get to Singaraja.
Those times do not allow for any stops on the way.
I'd also go around the east and north coast. The road conditions are excellent and there's some nice scenery. If you have an hour to spare check out Singaraja, its worth a visit. At Lovina the main attraction is at the village, Kalibukbuk. Otherwise it really just is a road running past some resorts etc. A visit to the village is worth while, there are many warungs, bars and a small markets on the foreshore. The beach surrounds are worth viewing to check out the local fishing boats. Hope you enjoy.
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