Nice design! I'll assume this is done in 18k. If you haven't already you should have the two main diamonds GIA certified so as to keep people honest. If they are of exceptional quality they would be very valuable and if uncertified they could easily be switched out for cheaper diamonds and mostly no one would know the difference. I recommending this because you'll most likely be giving the ring to people to work on it.
There are four things that come to mind. You can find a bench jeweler that will remove all the stones and then give the prongs more girth by adding 18k plumb solder to each prong and giving them more girth. Although, with this method, you could still run into problems with metal fatigue. Metal fatigue is when a metal is bent numerous times and as a consequence develops microscopic cracks that tend to make the metal more brittle and subject to breaking.
Completely have it remade by a highly skilled bench jeweler. By the way, a bench jeweler is a jeweler that typically works within the constraints of traditional jewelry making and doesn't really use much in the way of modern tools. There are people talented enough to make a copy so precise that you wouldn't be able to tell the difference between the original and the optimized copy. The problem is finding that person and also the cost. If you could find someone it would take at least a month of work and would probably cost something like $6000 to $8000 in labor.
Which brings up 3D. Yes, this can be made in 3D two different ways. One way is to find a highly skilled artist that can simply look at your ring and then sculpt an exact duplicate of it and also sculpt in thicker prongs using 3D sculpting software like Zbrush. Or, you can have it 3D scanned. In 3D scanning, a computer looks at the ring and makes millions of minute measurements of it and then constructs a 3D model of it based on those measurements. Then an artist would take the scan data and use 3D sculpting software to add girth to the prongs.
Once either of these two methods was completed then you can have it 3D printed and cast and then the stones would be transferred to the newly cast ring.
I can do all of the above but I am swamped with work right now. I had an equipment failure and now I am months behind on two of my custom orders that I have clients patiently waiting on. At this point, I have no idea when I'll be able to take on new work. It could be months from now. What you can do though is go around to the various jewelry forums and post your image and tell jewelers what you'd like to have done and get some quotes. This forum has highly talented people who could do all the 3D stuff and Shapeways can print it but I'm not sure there are many here who can do the setting work. However, you could always take the 3D printed casting to a local jeweler to do the settings.
In any case, tell us what you ended up doing because myself, and I'm sure others, in this forum, would love to know.