Stephen Album's (SARC) auctions aren't nearly as frequent as HA, Stack's (SB), Great Collections. The other three pretty much only deal in slabbed coins now, with rare exceptions . While sarc does handle raw pieces, generally these are lower quality condition, often sold as mixed lots, don't get very nice photos, if any, and so generally won't bid up well for you.
I agree with the idea to slab better pieces, as it's just how the market is here in the US, but obviously avoid doing so for lower-priced items, as grading is so expensive, and slow. If a coin is not worth $100, at least, if not even a good bit more, keep it raw. But for better pieces, it's frankly going to do far better in a plastic slab, and NGC could even attach a Collection name to your submission, if you desire (I imagine it costs more money). Take time going through sold listings on eBay and all the auction houses, compare to similar grades. I concur with selling especially raws on eBay, or privately to individuals, including offering some in forums, or Reddit coin selling subs. I know someone who works for Stack's, but he focuses on US, especially dollars. You could also try to find world coin dealers, see if they'll give you a decent offer for raw less expensive items as a lot. I know a few coin shop owners, one or two through Discord who might be interested (and they'd buy it all raw, submit pieces to TPG they feel are worth it, which would probably be quicker, but less money for you), though I can't comment on their offered prices, I've not sold. Obviously anyone you sell to wants to make money, but do your research on recent sold listings, so you're not going to be taken advantage of. If you're interested, I can post the links to Reddit subs used for selling coins, as well as the Coin Discord server, where most users are in the US, but many of us collect world coins, plus some of the aforementioned dealers are in there. You could pose this opening post query in there, to get feedback from them. Just let me know if any of that interests you.
You may find splitting it up among a few places worth your time. The best graded pieces especially are sure to be best suited for large auction houses, where more participants are to catch bidding fever.