Hi Hammock
I'm guessing where I have stayed on my three visits to Gili Meno may not be for you, as I was in budget accomodation Kontiki Bungalows.
As you are probably aware the three islands are tagged party island, family island and honeymoon island. And from what you are saying I think the Meno the honeymoon island would be ideal.
I have found this site that claims to list ALL accommodation on the Gilis so maybe worth having a look at.
Gili HotelsHowever once you have decided on your accommodation I suggest you contact the hotel directly to book.
My own experience of Lombok Network and several other online "agents" is that they were offering our accommodation on their websites at highly inflated rates - as much as 100% in some cases, had used copywritten information from our website. Information that was several years out of date. And with one agent when I had a freind attempt to make a booking through them, they were advised to stay elsewhere
Having said that Lombok Network removed us from their website as soon as I requested, unlike some of the other agents.