Typically, longterm rents in Hawaii Kai run around $2000 -2300 for a renovated 2bdrm and $2500- 2800+ for a $3bdrm. If it is a newer Single Family Home with pool and garage you will be looking at over $3000-$4000. Is this your home you are interested in renting out? I can get you more detailed rental rate if you let me know what you have and what you want.
BTW, You can get even more if you furnish it or allow it to be a vacation rental.
Hope that gives you at least a rough indication of the rental market here.
It makes sense to consult with a property manager that handles the area -- here is contact information for Prudential Property Management: http://www.pruhawaiirentals.com/ . Thanks and good luck!
Hauoli Makahiki Hou , Robert Huber RA SFR
Since you're in the area, you may want to go to Koko Circle and ask around. Then you can get a feel for what complexes you may like and get a feel for the neighborhood. It's a pretty small neighborhood, but there's an amazing variety between tenants and buildings.