No methods work for me going from PB3 to PB4. I had a lot of trouble PB2->PB3, ended up downloading the Install HS app from the App Store, rebuilding the USB key, and installing off that, which worked. This go around nothing works for me, not App Store, not rebuilding USB key with latest Install HS app, not recovery partition. For a while each boot would just load to a PB3 desktop but with errors in Safari about webkit, suggesting the install had gone part way. Now regardless of booting off drive or recovery I get the immediate prohibited sign.
This is on an SSD that I had Sierra on, installed HS PB 1 on and immediately converted to APFS. The update to PB2 was painless. Since then, pain. Not sure what my options are. It was always a play SSD so worst case I can wipe it but I'd rather get the install to run cleanly.
p.s. the behavior if I boot off the USB key is that it goes through the normal installer screens, then goes to copy files, starts at 8 minutes, jumps down to 2, then restarts, but I get the prohibited sign. At one point I was able to boot the recovery partition and tried several times to install from there with a more normal 30-minute-ish install but it never properly updated to the right PB4 build number and Safari had webkit issues loading sites.
UPDATE: it's booting up now, I just put the latest 4152 clover on the stick and suddenly it booted up fine. I also randomly put the latest apfs.efi on the stick. Between those two things I seem to be back in business on PB4.