Ok, brand new here so forgive me if I have no idea what I am talking about lol! I work in glass and have similar issues. I don't sell my seconds with my name on but I do give them away or sell them for a token amount. I also wear them myself and have sold beads straight off my neck even when faults have been pointed out in detail. There is little space to sign a glass bead anyway so initials are my only option really, that and a certificate of authenticity with a picture. I am happy to do that for a bead costing £10-£50+ but not for £1 or free!
i have given away unsigned work - as long as it is technically ok. This means no sharp bits, no wonkiness, decorations attached firmly and safely etc. If that criteria is met them the bead is technically good - the pattern, colour, surface decoration is a matter of taste. Just because I think it's fugly, well, maybe someone else will love it! If I don't like it I don't put my name on it and anything technically below par is either hammered to death or never leaves the house. So, my fuglies are given away to friends or family if they like them. I also sometimes have a lucky dip or fill a bag for £5 or even a fugly bowl - all items £1-2. I sometimes offer a freebie with a purchase, or pop extras in the post. All these beads are unsigned and probably such a long long way from my usual style that they are unrecognizable as mine. I have to say on occasion the lucky dip or fugly bowl have brought in a load of dosh when big purchases have been quiet - everyone loves a bargain
The under valuing argument is thrashed out in the glass community in a regular basis with no definitive answer. I guess that is the same in the ceramic world too?
if I were in the position of the OP, I would probably sign the pieces that are technically good but in a way that makes it clear that they are not at the standard desired. So, maybe, your initials - " ABC - Test glaze 1/10". Or " ABC - Sample 7/15" Or "Samp. Yrnbwl style 2b". Anything you can think of that makes it clear it's not necessarily a production piece, so may not be as finessed as the rest of your work, but is still by you and good enough to sell. I've found that people love to know a little about the artist who's work they are buying, and I'd hazard a guess that people would love to know they are supporting a growing and developing artist even more so. Even if the pots turn up later and you are embarrassed, there is always the excuse of an idea in development lol!
I would agree on pricing issues though. While everyone loves a bargain, most people have a perception of value and will spend a little more because the believe something is better or more exclusive, valuble, unique, special - even if the item is the same as the one down the road for £20 less! Because this seems to be the case, I would have a good look at your market and maybe not sell at the two different price points at the same time.
If you can afford NOT to sell your early pieces, then maybe dont? It's obviously uncomfortable for you (even a tiny bit) or you wouldn't have asked.