Okay so I ended up finding out that power delivery off of the motherboard was sufficient for the 1050ti. The pico psu was used in some sense, however it was only the
power delivery cable (the 7.4*5.0mm DC input cable) that came with it that ended up used. This cable was meant to deliver power from the external to internal psu. However, for my use, it was soldered to
another cable that delivered power directly to the motherboard, as it already natively supports 19v and 12v input. This other cable was there specifically due to the barrel size, as I didn't have anything else that could physically fit in the slot on the motherboard. So, the power plug in the back of the system is bolted to the back of the case, then the cable runs up outside the case again to fit in the power plug, as seen in the album above. I had to drill out some of the handle right near the plug for it to fit.
That second cable was a lot like the link given, except a right angle connection. Unfortunately the original item doesn't seem to be available anymore..
In addition, late in the project I discovered a
much better riser/adapter for pcie. This would be sata powered, so the internal psu could be avoided entirely. This ended up being incredibly important, as I probably should have mentioned previously. Without replacing the unwieldy pcie brick that the other adapter was, nothing would have fit. Same about the internal psu.
So, in essence, it's daisy chained. The external psu powers the motherboard, the motherboard powers the gpu. Hopefully that answers your question? I'll be updating the main post asap to reflect this. Oh and good luck to you! Hopefully this will help you avoid some pitfalls I fell into. I can't wait to see how it looks! Do post it when you're done!