The Club at The Legian
Amanusa
Amankila (could see if TA could secure an upgrade to pool suites).

Banyan Tree Ungasan (has cliff edge one bedroom villas with unobstructed sea views)
Karma Kandara
Karma Jimbaran (?)

I think you are quite right to look for other options instead of FS Jimberan. It is not one of the better FS resorts, unless one has the budget for Royal Villa etc...