Programming Altera Max EPM3256AQC208-10N PQFP-208

I don't know about that version, I don't have it installed anywhere.

But I plugged in my EPM3064A eval board and a USB Blaster into my Win7 64b laptop that has both QuartusII 6.1 and 9.1sp2 installed.

On my laptop I have both QuartusII 6.1 Web and 9.1sp2 Web, and they both were able to detect my EPM3064A device, verify the program against what I know I programmed in it using 13.0sp1, and then examine and save the device contents to a .pof file. Which I could then set to verify mode, and verify the files read both by 6.1 and 9.1 versus the device successfully.

Most specifically in the Programmer Tool the 'Examine' checkbox is enabled and able to be set to read the device and save the contents to a file. This feature is not present in 13.0sp1, the 'Examine' checkbox is disabled.

So proof that QuartusII 6.1 and 9.1sp2 Web can do what you want to do with an EPM3064A in a PL44 package. 11.0sp1 I can't say.

In both those versions the EPM3256AQC208 appears in the supported device list as well, so I expect it would work for you, given you have access to a USB Blaster, at least one those versions of QuartusII on a supported O/S (Win7 64b; I don't know about Win10 64b install?) and a suitable hardware development board to allow access to the appropriate signals on the physical chip.

And the security bit must not be set in the device. If it is, all bets are off.