I have been using GTX 765 metal card for a long time and it works well.I have an identical iMac. According to someone on techpowerup Maxwell is the last gen of cards to support LVDS, so metal might be possible. If you have a card sitting around try removing all drives and using an opencore usb to see if you get video using a Maxwell card. The only card I have that might be physically compatible is a HD 5670, which I guess wouldn't be a pointless upgrade now that TS2 support is in beta with OCLP IF it had LVDS, which as far as I can tell it does not.
The GTX 765m Looks like the cheapest card (at around $150) with both metal and LVDS (I can't find any data on the quadro cards) and will need a heatsink mod if it works. As much as I hate to hear it too, it just isn't economical to upgrade the graphics of the 9,1.
Sorry if this has already been said, I haven't read all 612 pages
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