As your in the 'modpacks' section, I assume you mean mods that 'can' feature the samples featured on your website?
I think some mods can 'feature your own' music that might help out. From a quick mod search I found the following and read the descriptions that seemed to fit music already available by the user, rather than 'create your own in Minecraft' or 'adds other songs to the game in place of the original games' type ones that don't seem to be what your looking for I assume.
If I'm 'way' off on what you after, I tried to go for what I understood at least, which was 'use your music from your website into mods/mods in a modpack.'
So I just went with a quick search for a few 'music' related mods that allow for your music to work with them instead of other 'music focused mods' that serve other purpose instead.
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'Niche Community Content Finder' for fun and support of creators. I just swim through my 'Experimentation Pond' of content that intrigues me or really needs a bit of acknowledgement or bug fix testing/reporting.
Creator/Maintainer of Fabric, Rift & Tesla Mod Discussion Threads/Niche Mod Youtuber.