Using Titegroup for .38 and .357 is an idea. In my experience, it is a poor idea. I can assure you that this is NOT a popular opinion and you'll see guys argue with my post here.
Plenty of folks use Titegroup in .38 and .357. Hodgdon will of course give you published data for it in .38 and .357, because they love the idea that you will buy their product.
If you are a skilled handloader and you are absolutely diligent at the load bench, Titegroup will work and work safely in both .38 and .357.
I have Titegroup in my cache and I use it in select places but I will not use it in .38 or .357. I am not saying you shouldn't but instead, I'll tell you why I won't use it.
In .38 Special it makes decent ammo except that I find it excessively hot. By that I mean temperature. It heats up a revolver cylinder hotter and faster than every other powder I use, bar none. This is due to the high nitroglycerin content of Titegroup.
In .357 it will make ammo that goes bang. It will not return the magnum velocity you get with a more appropriate, slower burning powder. It does not sound the same, feel the same or perform the same as proper .357 Magnum ammo, but it will fail in all of these ways and yet still reach the same peak pressure.
I don't know of any smokeless
powder on the entire market that is as fast and also as dense as Titegroup. If you are not aware, that means using it in almost any revolver round provides you enough physical space to triple or quadruple a maximum published load.
I will put that in a different way—
If you put as much H-110 as physically possible under a 158gr bullet in .357 and seated it, you would have an over-pressure and unsafe round. It would be a struggle to load 10% over max weight. This would be a bad, reckless idea. But just about any and every modern .357 handgun could handle it.
If you put as much Titegroup under a 158gr bullet as a .357 cartridge case could hold and seat the bullet, you will have created a bomb that no .357 Magnum ever made could handle without catastrophic bursting results.
If someone had a goal to willfully destroy a firearm with an over pressure handload, I don't believe any powder sold would be more effective for the task than Titegroup.