Van Halen, along side Queen, make up my 2 favorite bands of all time. I suspect Van Halen should be able to make some waves here. The only thing that hurts them is the split - in this region, you can only take Van Halen's days with Diamond Dave into account.
1984 was a fine album, tarp. It proved that Van Halen was a versatile band, and could adapt to the change in the musical landscape. With New Wave, Hair Metal, and Synth-rock being major forces in the 80's, it made sense that Halen also adapt. They didn't lose that guitar edge or Alex's drums, but added technology. I'll Wait, Top Jimmy, Hot For Teacher, Drop Dead Legs, Panama, and of course the mega hit Jump were all very strong songs off of 1984.
Diver Down was their worst album, but it was chock full of strong covers (Pretty Woman, Happy Trails, Dancin in the Street) and experimental instrumental work (Cathedral). Oddly enough, though Diver Down was IMO their worst, it performed better than Fair Warning, which was an album motivated by Eddie's battles with alcoholism. Songs like "Mean Street" and "Unchained" made the album a sharp success in my book.
The first two albums, aptly names Van Halen I and Van Halen II, remain the benchmark for debut and sophomore hard rock success. "Runnin' With the Devil" remains a major radio favorite and popular song at NJ Devils hockey games. "Ain't Talking 'Bout Love" and "You Really Got Me" I perform with a local cover band, and both songs STILL pop huge, even with the 21-26 age group.
Van Halen SHOULDN'T have much trouble for a few rounds, but people could always surprise me. I just see this region as narrowly coming down to Floyd, Queen, Halen, and Aerosmith.