I don’t understand why you’re having those issues.
Using *any* NAS, you can disable the Password prompt by telling it to log in automatically. You’ll never see the prompt again unless you change UID/PW.
A faster NAS isn’t going to solve your issues. If your photos are multi-megabytes in size, it’s got a LOT of data to move to the Live before it can display thumbs. We’re talking 30-40 megabytes. If all of your photos have EXIF thumbnails, the process is notably faster because only the EXIF headers are needed (depending on how you’re accessing them.)