Two suggestions I can offer to give you more a hand-filling grip on a small compact revolver. The first is a well known item - the Tyler T Grip. It makes the small and thin factory grips that came on a J Frame years ago feel like a bigger grip and gives you more control under recoil. They happen to work for many who EDC a 2" Chief's Special. The second is to have a custom made set pf grips.
Many years ago (when it was actually legal) I had one of the premier Ivory grip makers in the Country produce a custom set of Ivory Grips to fit flush with the metal frame of my M60-7 but in a wider, thicker configuration. I used a caliper and gave him the exact spec's I wanted. He followed them to a T! He also called me when he received my check and instructions that in all his 40+ years of making grips no one had even given him measurements in thousandths of an inch. I said to him...... you have never met me - lol! He did a spectacular job and made the grips to exactly what I had asked for.
It's very difficult to actually see form the picture, but this gun's grips are wide enough that I no longer needed a Tyler T. If I did, I could still use one since the grips fit flush with the edges of the metal. The other reason I like Ivory is because it tends to get slightly stickier (not slippery) when perspiration from your hand gets on it. I discovered that when I bought my first Colt SAA with factory Ivory grips back in the day. In other words, it gives you a better grip when sweating. BTW, they look like they belong on the revolver - not a weird proportion I mean.
Ivory is now illegal in the USA however there are many other materials that can be used in its place. So my point here is that there are ways to get a much better grip on a small frame gun without exceeding the outer edges of the grip frame. It gave me my cake and I get to eat it too! It does not impede the concealability of the revolver and yet it shoots like a K frame (to me). AND..... BTW, I used Buffalo Bore HEAVY +P 158 grain SWCHP-GC bullets which actually do 1,025 fps out of my Chief's Special 2" M60-7. Personally chronographed many times BTW. That is one HOT load!
The ONLY downsides to these grips are that they preclude the use of most speed loaders as they to stick out a little more and make using a speed loader more difficult. That matters not to me as I never carried them anyway. I trained myself to reload from a 2+2+2 ammo pouch custom made for me by Kramer. I got really fast with it. The other downside was the price of the grips of course. I paid more than I paid for the gun itself. That said, it was a GREAT package and I never regretted spending the money! Still have it.
The targets below were shot a few weeks ago. Correction: I wrote S/A on the targets but they were shot rapid fire, D/A - no cocking of the hammer. Ooops - my bad!