There is a 8 port 10 SFP+ is inexpensive and passive and do the 10 gbit part. 255€
Mikrotik XRS 309.
Find a 2.5gb PoE with SFP+ uplink. Can likely be done for 120-200$. So that combined with the Mikrotik is likely the cheapest option, if budget & low noise are constratints.
There have been considerable advancements made in 10G PHY’s.
They used to suck down 5W per link, then it was reduced to 3W, AFAIK the latest development has that down to 1.8W.
I found a no name brand SFP+ switch for $110. I have been wanting to try. Probably doesn’t have good switching capacity. But it might be fun to play with. Says it uses an RTL9303 chip so it might be decent.
If you want affordable, do that. 10GBASE-T generates a LOT of heat as is; adding PoE to the mix will likely require a fairly loud actively cooled switch.