BSOD: INTERNAL_POWER_ERROR related to eSATA enclosure/disks

I have a Mediasonic four-port disk enclosure that only allows hot-swapping disks in eSATA mode (it also supports USB 3, but without the swapping feature). BTW, the USB 3 mode works fine with all my disks. So I bought this eSATA card, which seems to work fine, by which I mean that all the right messages appear during the BIOS pre-boot stage along with the correct disk drive names.

But often when I boot up (into 64-bit Windows 10 Pro 1903), after a while I see the spinning dots stop cold for about 8-10 seconds (which it never does otherwise). Then it continues through the Metro boot loader where I choose my OS, but not long afterwards I see the BSOD in question. This only happens when I have drives inserted into the enclosure in eSATA mode.

Here's the collector data: OASUS-(2019-10-23_13-34-12).zip - Google Drive

Thanks for your time and assistance!

Update:
ASMedia SATA driver (Asmedia ASM-106x Sata 6G controller Drivers Version 3.2.3.0 WHQL or check in Snappy Driver Download)

MrPepka said:

Update:
ASMedia SATA driver (Asmedia ASM-106x Sata 6G controller Drivers Version 3.2.3.0 WHQL or check in Snappy Driver Download)

Thanks for your reply!

However, I already had the latest driver -- v3.2.3.0 -- installed. But I downloaded the driver from your link anyway, and tried to use the Device Manager to update the driver using that downloaded driver set. It said I already had the best driver installed. I also tried two driver updater tools (DriverMax and TweakBit), but they couldn't find anything more recent either.