Classical music is a tough area for old records.
Usually the best are long gone...
And what is left is hard to give away.
Generally Goodwill is happy to take old Lps. And any decent ones will be bought by collectors.
Some church charities have monthly sales.. And would accept them too.
Most likely some person will email you to ask for them.
If they will pay for shipping yeah send them away.
If they are 78's then you should just give them away locally. classical 78s have close to zero value.
(though a few might be of value to a real collector, but those are very rare items and not likely to be in a common collection.
I have given away 6,000 Classical Lps locally when I moved. I paid from ten to fifty cents each for them, but the resale was no one wanted them.. So I donated them to my local library sale shop.
One way to make it interesting is to list them and offer them for cost of shipping. The task of listing them may be time consuming, but you may be rewarded with new friends too.
Label, composer, and work . with Mono or stereo should be enough