I’ll improve performance with every update, the last time I checked HivePress with 10,000 listings. I suggest using a VPS instead of sharing hosting, or a managed hosting specific to WordPress, for example WPEngine, Kinsta or Cloudways. If you’re an advanced user I suggest to start with $5 VPS from DigitalOcean, with this installation https://marketplace.digitalocean.com/apps/openlitespeed-wordpress Some performance tips:
– Use a VPS or hosting with server-side caching (object cache), or a good caching plugin – but always disable caching for logged-in users.
– Use some solution for offloading images to a CDN, for example this one https://wordpress.org/plugins/amazon-s3-and-cloudfront/ (some hosting providers offer CDN without a plugin).
– Don’t use other content heavy plugins with HivePress (except WooCommerce if you need payments). For example, don’t install a forum plugin with HivePress because eventually your database will store thousands of forum topics and replies together with listings, this will slow down listing search.