If you insist on not using WooCommerce then I recommend OpenCart and Shopify. But WooCommerce is my first pick by miles. Just because most people can't develop a WP site to save their life doesn't mean the platform sucks. It has the widest compatibility with other platforms and is almost infinitely extensible.
If you avoid bloated junk like Avada, Elementor, Beaver Theme (Beaver Builder itself isn't too bad), Elementor, Divi, Thrive Architect, SiteOrigin, WPBakery etc. you should end up with a fast website. I'd also recommend avoiding all Brainstorm Force products, including their hyper-popular Astra theme.
I disable the WordPress theme framework for the sites I build, but due to the number of small clients available State-side via my partners there, I have recently added a faster and more cost-effective mix of a basic, dev-friendly theme plus Gutenberg (the new WP editor). It means load times are still great, online stores don't have to cost a lot, I don't have to poison my soul with Elementor or similar, and it doesn't require nearly as many dev hours. If you have basic skills with HTML, CSS & PHP (JS a bonus), it's easy to adapt lightweight themes like GeneratePress or Genesis to your needs.