There is a community that run everyday incursion fleets and yes they are with shield tanking and shield logis. Register here for Warp To Me incursions and first read rookie guide. Guide is not long so you can join your first fleet within 15 minutes of preparations (read guide, register on WTM site, get a proper fitted ship, join chat channel and Team Speak 3 comms channel).
The thing works like this:
Login and post your fit on a waiting list, when FC approves your fit and you come in line you’ll receive fleet invite in game.
After you join chat channel Warp to Me Incursions you’ll see in MOTD where’s location of incursion and in what system fleet is operating at the moment.
PS. Your fit must be one of these.