Jessica's idea is only gross if it's intended as punishment. My daughter helped to train both of her kids by letting them go naked at home. Something about exposure to the air helps them learn. They just wore t-shirts or nothing at all and so there were no clothes to get wet.
Have you tried just letting up on the training. Stop insisting that she be trained sort of thing. Tell her you know she wants to be a big girl and that she'll be able to use the toilet soon. Your message sounds like your daughter may be showing her independence which is normal during the preschool years.
Her body also may not be ready for potty training. Sometimes she's aware but other times she's not. That isn't necessarily an intentional thing. She has to receive messages from her body which go to her brain and then come back again to control the urine. There can be a disruption anywhere along that path due to physical and/or emotional immaturity.
If she truly doesn't ever want to please people, respond to peer pressure or praise then I would consider getting an evaluation for one of the spectrum behaviour disorders. Autism is the most serious one, I think, but it's called spectrum because there are different degrees and types.
She may also be acting this way because of some more normal reactions to life. She may be in a power struggle with you. If you use more angry words than praise she may feel discouraged. She may sense your frustration and be reacting to that. Experts say we should use 6 words of praise for every critical comment that we make. THat's a difficult balance to keep.
I come back to suggesting that you just love her and leave the potty training alone for awhile. Keep telling her you know that she will be able to do it when she's ready.
Another thought. Are you relying on her to know when to go to the bathroom? One training technique is to take them to the bathroom at regular intervals without asking if they need to go. Sitting on the toilet is just a part of the routine. Make it fun. Stay with her, sing, read a book, or just talk about pleasant things.