The adapter will work electrically, but might involve gentle bending of the outer shielding in order to make it physically fit the card’s output.

As for active cooling, you can either go Heath Robinson and zip-tie or other method of attaching the fan, you could go for an adjacent PCI slot 120mm fan bracket, or you could do what I did for my 3000, which was to 3D print a 60mm fan holder that slotted into the heatsink fins (still consumes an additional PCI slot due to width).

With my original V3-3500, I dremeled a 486 size heatink to cool the back of the main chip. Had to make channels in it to clear all the surface mount components.

I also made some RAM sinks for it.

For the active cooling, I bent a slot cover bracket and mounted an 80mm fan blowing down on the card from the top edge so it would cool both sides of the card.

Cooling is my main issue, as for adapter someone here proposed it so I bought one that was available to send to my country, hopefully that will work because I'm afraid that heavy cable may damage port or card itself.

If you don't want to modify your card and you want to keep the adjacent slot empty or available, you can get a bar which mounts a fan sideways-on to your PCI cards; like this https://www.ebay.co.uk/itm/304466944076

It's convenient that the fins on the stock heatsinks that I've seen are orientated correctly for this.
This can also cool both sides of the card at the same time.