Don't see why they would have any issues if it's your music and it isn't signed to a label. Is it yours or someone elses?
Routenote is great but seems to have a bad reputation when it comes to paying. (Through my own networks, i don't know how valid this is)
SoundDrop is also another totally free option, except for the cover song licensing which you will be charged $9.99.
The thing is, in my experience, is that most of the "Free" distributors seem to be lower quality. The paid ones are a little more expensive for a reason. Even Distrokid is $19 for the year and not bad with their system. To be honest it's their backend is super simple.
And of course you will have the top dogs like TuneCore and CDBaby with which your costs will be much, much higher.
So to summarize, if it isnt' your music at all, then good luck finding a distributor. If it is your music and you have tons of albums, then any of the distributors should be good to go.