If you like FPS's but also like a variety of mission types and being able to scale the difficulty, my suggestion is Deep Rock Galactic. Fantastic game... one of my friends and I play it every weekend. Takes about 30 minutes for the average two-player mission, up to maybe 45 at longest, so you can easily block out playtime.
Also, in general, regardless of what you're playing... you don't really need a LAN to play together, you can just friend each other on Steam and easily join each other's games that way. Even if you're both in your own residences, the voice chat tool in Steam is great for talking while playing games.