Yeah, unfortunately, "cheap" and "10G copper (i.e. 10gbase-t)" do not mix. You are still looking at a few hundred for 6-8 year old 10Gbase-t gear which have 10-15x the power draw and and equal 10-15x the latency of network gear that you would be typically accustomed to using. I think netgear has a 5-port switch (well 4x copper+1 SPF+) for around $350. Dell has one for around $450, but at that price there are Mikrotek switches in the $500-600 range which are better. If you hunt ebay, you can get first gen switches that companies are starting to dump used in the $300-500 range (these are typically 12-24 port but as stated, as power hungry as a typical computer with high latency and also several years of use/end of life/no support).
Most people who have 10gig are using SFP+ which are much cheaper, but not really compatible with copper cabling that people might have in a house, and instead rely on using cheap twinax/dac cables (so they don't need to spend $50-60 for a transceiver in both the network card and switch). There are now relatively cheap ($70 per port, which is a LOT better than the $200 that they were a year or two ago) 10gbase-t copper SFP+ transceivers, however almost all exceed the power draw specs for the SFP+ port on the switch and will run "hot" potentially damaging your switch.