See title. Since I just got an R9 390, I'm looking for things to justify it.
You are looking at it the wrong way. Even if R9 390 had just 4GB of VRAM, it would still be a better buy over the 970 from a raw perfomrance point of view.
1) Early DX12 benches show 390 winning
2) At 1440P, 390 easily wins which suggests it's betters suited for next gen games than the 970. 970 shows big weaknesses at 1440P, which doesn't inspire as much confidence once games get more demanding. Since you bought your card now, I am guessing you'll keep it for 2-3 years so 390 is a safer bet:
http://www.guru3d.com/articles-pages/powercolor-radeon-r9-390-pcs-8gb-review,1.html
3) You have peace of mind that AMD will continue to support GCN with driver improvements. Looking at R9 280X vs. 680/770/780, Kepler fell apart completely. 290 & 390X already beat 970/980 at 1440P. What's going to happen with Maxwell once NV moves on to Pascal? Since Fiji is also GCN, AMD will continue to optimize drivers for R9 290/290X/390/390X cards.
If two cards cost similarly and one performs much better at 1440P and has more VRAM as a bonus, it's a no brainer to pick that card -- and that's the 390.
It's also not about 4GB vs. 8GB since 970 doesn't have 4GB of fast GDDR5. It's more like 3.5GB vs. at least 4GB.
Once 970 exceeds 3.5-3.6Ghz of memory, it's game over for the card:
https://www.youtube.com/watch?v=53mWbxcWAw4
Mods? Once again 390 wins. You can load up Skyrim, GTA IV/V, Doom with mods and not worry about VRAM, just GPU horsepower.
390 also beats 970 in SW:BF, the best looking PC game of 2015, if not of all time. That means you are better positioned for BF5 as well.
Good reasons to buy 970 are lower power usage, HDMI 2.0 and if you need NV-specific features like TXAA, PhysX or if you specifically play NV catered titles like ProjectCARS, Anno 2205, etc.
Otherwise, 390 is a much more well rounded GPU. Realistically I don't exactly expect Maxwell to crater as bad as 670/680/770/780 did but DX12 could be a big weaknesses for the 970. So again, 390 just seems like safer bet. You should be realistic with your expectations though. 390 is still a 2-year-old GPU (aka R9 290) so don't expect it to have the same staying power as HD7970Ghz did vs. HD5870/6970.