The notion of starving artists is not lost on the website builder world, and their pricing is very friendly, with plenty of free trials or plans starting at $1 / year. Some of the sites on this list have pretty simple, even brutalist themes, which makes them look like they were designed in the nineties. That is on purpose though, because an extremely simple theme will focus the viewer's attention even more on the artwork.
Make sure you also look at the extensive list of Portfolio builders for a lot more suggestions.
