Just replace the domain in any twitter.com URL with nitter.net and it'll load it.
Alternatively consider using one of the alternative Nitter instances to reduce load on the main one: https://github.com/zedeus/nitter/wiki/Instances
@polychrome only way with Tor, too
Smol server part of the pixie.town infrastructure. Registration is approval-based, and will probably only accept people I know elsewhere or with good motivation.