I was going to suggest you try the 250 Ω model as it would indeed be a good compromise. I would also suggest you try it without an amp first before you spend extra money if it’s not needed.
According to Beyerdynamic:
VERSIONS
DT 880 32 Ω, for portable players . . . . . . . Order # 483.931
DT 880 250 Ω, for home hi-fi systems . . . . Order # 481.793
DT 880 600 Ω, for high end systems . . . . . Order # 491.322
check out the Spec sheet PDF on the Technical Data tab.