Several of the Walmarts in my area carry a Remington/UMC .38 Special +P load that is pretty close to what you are seeking. It has a jacketed hollowpoint bullet and a higher velocity, so it is more expensive than the cheap .38 target ammo (but significantly less than the magnum ammo), and it shoots VERY well in several of my revolvers (one is a .38 Special caliber, the other is a short-barreled .357 Magnum).
It comes in a taller-than-normal box, as it contains two vertically-stacked 50-round trays of ammo. Here is what the end flap of the box looks like (clipped out of another photo that I had handy):
I haven't bought any of it in several months, so I'm not sure what the current price is, but I remember it was more than two boxes of the cheap .38 FMJ/target ammo, and less than the similar 100-round box of .357 ammo, so I'm thinking it was around $38-$40 (remember, this is for 100 shots, not 50). Good stuff; it's about the only factory-made ammo I use in my old S&W .38 nowadays. SEE 2nd EDIT, BELOW.
EDITED TO ADD: That Dan Wesson is a fine revolver, and if you find some ammo it likes, it may well astound you. A friend had a similar DW revolver many years ago, and I remember him shooting 6 shots into a single ragged hole at 10-15 yards with boring regularity, and his favorite magnum ammo would keep 6 shots under two inches at a full 25 yards, if he did his part.
If you shoot .38 ammo in your .357, don't forget to clean each chamber well when you are finished, or you might get a build-up of crud near where the end of the .38 casings release the bullet. If you try to shoot the longer .357 ammo in a chamber still dirty from shooting .38 ammo, the .357 casings may stick or be very hard to extract from the cylinder, due to the ring of fouling left by the shorter-cased .38 ammo. In extreme cases, major fouling can raise the pressures when .357 ammo is fired, causing other problems.
2nd EDIT: Price of this Rem/UMC .38 +P ammo is currently $33.97 per 100 rounds; just picked up a new box on 10-9-12.
"Placement is power" -- seen in an article by Stephen A. Camp
(RIP, Mr. Camp; you will be remembered, and missed)