I’m familiar with at least three cameras that may fit your requirements.  The list below also contains links to my overview and teardowns of these cameras.  

Browning Elite HP5 series 

Bushnell Core DS 4K (low glow IR flash).  

GardePro T5WF.  

Per your requirements: 

-programmable specific time to operate. For example, I would like to only trigger videos between 6-11am and 4-6pm.  : All cameras almost support this.  They have a single “operation window” .  I.e. you could set the camera to operate 6 am to 6 pm; (or 4 pm to 11am)

-solar enabled (either internal or with external panels): Each of these cameras has an external power supply input which can be used with a 12V Solar panel.  Given the humid conditions in the sub-tropics, you will want to keep moisture out of this connector when the solar panel is attached.  The connectors in the Browning and Gardepro are not water tight, but you could use a dab of silicone adhesive around the connector to seal it.  The Bushnell has a genuinely waterproof connector, but you'll need to get the Bushnell solar adapter.  In any case, I would do something to keep heavy rain from falling directly on the camera.  A steel security box will do the trick; as will a little “diverter roof”.  

-lower number of batteries required (12 like a Reconyx is too many): The Browning and GuardePro use 8xAA batteries; the Bushnell 6xAA.  

-support higher capacity SD cards (ie. 512 mb): They all support 512 GB cards.   

-screen or bluetooth connection to phone to see image easily while setting up: Oops – none of these cameras support this feature.  The Browning (2") and Bushnell (1.5") models have screens that you can preview the scene in as placed, but these are awkward to view when the camera is set low, and without getting your head in the way.  The GP also has a preview screen, but to view it, you have to swing open the whole case, which is not the way it’s deployed.  A hack we do to aim cameras is to bring along a point-and-shoot camera (or smart phone), place it over the the lens of the trail camera, snap a picture, view, and repeat til the set is perfect.  

-ability to replace batteries and SD card without removing camera from a tripod: You can service the SD cards in all of these cameras with tripod attached. The Bushnell and GP batteries can be serviced while still attached to tripod.  The Browning requires that you remove the camera from the tripod to get at the batteries.

Some additional factors: 

In our experience, the Brownings have the best image quality.  If you use the Browning Elite HP5, check out my firmware feature additions which include a fix for a bug which can sometimes corrupt high speed/high capacity SD cards.  The bug is rare, but it does happen on some camera/SD card pairs, and would be especially painful to encounter in a long term deployment.  

It doesn’t look like you are interested in any night-time captures, so I guess the flash type doesn’t matter.  Also, there is effectively no advantage of the second (night time) image sensor in the Bushnell.  

For such a long term deployment, I'd recommend narrowing your choices to a couple/few, and buying a full set of each to test in something like your full deployment. 

Hope this helps. 

I was going to suggest the Garde Pro too. The model available in Australia is good. I have found that the download from the SD card to the linked phone can take a while, so be prepared to sit around while it happens.