I have seen 4 of these clamshell-based saws literally melted to puddles near the muffler seams and next to the clutch drum plastic.
They weren't used for milling, but they were used long and hard by pro tree crews.
As for Stihl saws that would hold up and are in the $200-$300 realm used, an 028 or 028 super is a workhorse and magnesium cased, but old and tougher to find parts for. An 034 would also be a decent choice.
I have seen Husqvarna 61/162/266/268/272 and Jonsereds 625/630/670 saws for so cheap it is ridiculous. You could literally sell your MS250 and buy one of those Husky/J'red variants and probably be very pleased with the power outcome and reliability on a small vertical mill. These saws also have all magnesium cases, a real pro-grade bar oiler, and everything is easy to work on and all parts are available on aftermarket and many NOS as well.
I actually sold a nice 162se to a guy for the purpose of a small mill and he has been very happy.
Also, if you want more power, I believe all of these saws share the same crank and stroke, and can be upgraded to a 272xp piston and cylinder using a 272 carb and intake. I think I paid ~$115 for an OEM 272 cylinder and piston kit from Spike 60 for my J'red 630.