Using a Raspberry Pi is kinda a bumpy ride. It works well for most of the time, but sometimes, it slows down for no reason. It will be usable if you don't mind waiting another 30 seconds from time to time.
Is neutrino a working solution now (it was in a really beta state in 2017), or I should attach a HDD to the PI with the blockchain, downloaded previously with a PC, and start a full node?
Most tutorials out there are made for LND which is the only implementation supporting neutrino. Neutrino seems to be working fine since Lightning Lab decided to use it in their mobile mainnet Lightning Network wallet. There's also another light client called Breez available on iOS which also uses neutrino.