The BrownDog 970601B Adapter (Single SOIC-8 to DIP-8 header) has short pins, without shoulders, so it will sit low enough to fit in the DSD.
I contacted Cimarron Technology, and found that they have specialty pins without the shoulder, that will fit the BrownDog 020302 Adapter (Dual SOIC-8 to DIP-8 header).
After taking an Exacto knife, and scraping away some of the plastic on the inside edges of the socket (making clearance for the chip on the bottom of the adapter), the "Short" 020302 adapter will sit low enough in the socket, so that it isn't any taller than a standard DIP-8 op-amp.
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The Z1, Z2, and V2s will hold a TO-9 type can, or a Burson V5i - with their top installed.
If a low profile socket was installed, they may hold a Sparkos SS3602
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Due to the design (two stacked circuit boards, with the op-amp socket between them - and the circuit board / battery assembly having to be slid in from one end, rather than just taking a top off), the DSD is not as easy to try mods for tweaking the sound.
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According to
@Ivan TT - upgrading the low voltage regulators for the digital circuits makes a noticable improvement in the high frequency sound of the DSD.
Personally, I think that better quality (higher contact force) output jacks would be a good upgrade, for long term reliability. The 3.5mm jack on mine is already getting a bit flaky.