* ASL is a visual language: It relies on handshapes, facial expressions, and body language to convey meaning. There isn't a one-to-one correspondence with spoken English words.
* You'd sign the individual letters: The most common way to sign a name like "Alice" is to spell it out using the fingerspelling alphabet. This would be: A-L-I-C-E.
* Context and familiarity: If you are frequently using the name "Alice" in a conversation, you might establish a sign for it with the other person. This could be a specific handshape or gesture that you both agree upon.
Remember: Fingerspelling is a crucial part of ASL. It's important to practice the letter shapes and use clear movements.