Could you send some links?
No problem
The only "exotic" part I mentioned is the vapor chambers. There are some available through AliExpress:
https://www.aliexpress.com/wholesal...id=SB_20190401010636&SearchText=vapor+chamber
Most are sized for LED lamps and other weird form factors, but it should be possible to use some of them on a CPU as long as it doesn't obstruct the cooler mounting holes. AM4 mounting holes are spaced 54mm apart, so a 50mm vapor chamber should be pretty much perfect. If you can't find that, just find one that fits inside of the 90x54mm pattern of the mounting holes, e.g.
a 65x80mm one like this.
After that, just find a suitable heatsink that's large enough to drill mounting holes through (ideally as large as you can fit on your board), drill the required holes, and mount with screws down into the standard backplate (I
think the screws are M5, but don't quote me on that). I'd probably add some appropriately sized spacers (cut plastic tubing or similar) between the motherboard and heatsink for the screws to pass through to avoid over-tightening and crushing the vapor chamber.
I found
this recommended as good, easy-to-use thermal adhesive, but given its rather abysmal thermal conductivity, you might be better off just stacking everything and using a thin layer of high-quality paste between both the CPU and vapor chamber and vapor chamber and heatsink. Just be sure to spread it thin between the vc and heatsink, as there won't be much pressure to spread it out there. Ideally these would be soldered together, but I don't think that's feasible without industrial equipment.
As for aluminium heatsinks, they're a dime a dozen (no, not literally) on Ebay and AliExpress - just look around until you find one that fits your measurements, fin direction/spacing/pitch, etc.. They can be ordered in custom sizes (at least in one dimension), from what I've seen. Copper would probably be better, but I wouldn't trust that to not corrode when put next to an aluminium vapor chamber.
As for fans, I'd probably go for a high-end gaming laptop fan, as large as can fit - current generations tend to be relatively quiet while delivering good airflow (for a radial fan, that is). Can be difficult to find without a part number, but searching Ebay for [laptop model]+[year]+replacement fan ought to work. I'd mount the fan off to the side of the heatsink with a 3D-printed casing (dependent on clearance, of course), and find a heatsink with relatively dense (ideally skived) fins - the one strong point of radial fans is static pressure, after all, which means that they're able to maintain their modest airflow even through large and dense heatsinks.
If I could find a top-down image of the A300 motherboard, I'd make a mock-up of how I'd put this together, but sadly I can't find one ...