Howdy
This question gets asked a lot.
First, let's be clear on one thing. It is the cylinder of a revolver that is the pressure vessel, not the frame. If anything is going to let go with an over pressure event, it will be the cylinder, not the frame.
As Jim Watson said, Colt chambered the Single Action Army for 357 Magnum the same year Smith and Wesson introduced the cartridge, 1935. That is a long, long time the SAA has been chambered for 357 Mag, despite what you may have heard.
"I hear that the cylinders of 357 magnums are a lot beefier than 45 colts."
ALL Colt Single Action Army revolvers have cylinders the same outside diameter, no matter what cartridge they are chambered for.
So with smaller chambers, a 357 Magnum Colt is going to have thicker cylinder walls than a SAA chambered for 45 Colt. So if anything, although the outside diameter of a 357 Magnum Colt is the same as the outside diameter of a 45 Colt SAA, the amount of steel between chambers is greater.
This photo should help illustrate the point. On the left is a 2nd Gen Colt Single Action Army cylinder chambered for 45 Colt. I don't own a Colt chambered for 357 Mag, so the cylinder from a 357 Magnum New Vaquero will have to stand in for a 357 Mag Colt.
Some dimensions: The Colt cylinder has an OD of 1.651. The Ruger Cylinder has an OD of 1.673, so it is a little bit larger in diameter than the Colt cylinder. Now look at how much meat is between the chambers at their thinnest points. .045 for the 45 caliber Colt. .140 for the Ruger. By the way, since 1935 Colt cylinders have been made from fine grian, high tensile strength, ordnance quality steel, so they are fully proofed for modern ammunition loaded with Smokeless powder, no matter what cartridge they are chambered for.
Actually, the weakest part of a large caliber cylinder is the bolt slot that locks the cylinder in place when the revolver is at battery. With a 45 Colt cylinder, there is very little steel between the bottom of the slot and the chamber. This is of course not the same with a 357 Magnum cylinder because there is much more metal between the bottom of the slot and a chamber.
Regarding ammunition, SAAMI max pressure for the 357 Magnum cartridge is 35,000psi. Any Colt chambered for 357 Magnum will have been proofed with a cartridge a little bit more powerful than that, so any modern 357 Magnum revolver, no matter who made it, has been proofed for 357 Magnum. If you want to shoot Buffalo Bore ammo, you have to be careful which one you select. Some of their ammo is made to SAAMI Max pressure, some is not. You have to read the fine print, it is on their website, as to which ammo is suitable for which guns.
Regarding the frame and how much battering it will take, I suspect that your hands will get beat up long before the frame when firing 357 Mag ammo from a Colt. Don't forget, a 357 Magnum Colt will actually be heavier than a 45 Colt Colt of the same barrel length, because of the smaller holes in the 357. This will affect felt recoil.
"I intend on using standard 357 loads and occasionally hot ones."
As long as you stay with standard, SAAMI spec 357 Magnum ammunition, you will have no problems. I think you will find that ammo like that packs plenty of punch. Hotter hand loads and you are on your own.