If you aren't getting hundreds of requests per second, and the resources aren't huge, there's really no reason why you can't host them yourself. Especially with webp, the bandwidth is negligible.
If you're really worried, cloudflare can help with caching. FWIW, this is served off domestic broadband with cloudflare caching: https://search.marginalia.nu/explore/random It's survived the HN front-page, despite being a bit of a pathological case since the images are random out of a pool of tens of thousands. Images are also larger than they appear visually. Native res is like this: https://search.marginalia.nu/screenshot/187889
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If you aren't getting hundreds of requests per second, and the resources aren't huge, there's really no reason why you can't host them yourself. Especially with webp, the bandwidth is negligible.
If you're really worried, cloudflare can help with caching. FWIW, this is served off domestic broadband with cloudflare caching: https://search.marginalia.nu/explore/random It's survived the HN front-page, despite being a bit of a pathological case since the images are random out of a pool of tens of thousands. Images are also larger than they appear visually. Native res is like this: https://search.marginalia.nu/screenshot/187889