Jet packs, laser blasters, intellect, beautiful sidekicks, alien intrigue. This is a crossover that would've been worth seeing.
Both Adam Strange and Peacemaker were thinking man's heroes, they had high tech gadgets but often they had to use their minds in battle which made them their greatest weaponry. While Peacemaker didn't do the planetary hopping Strange did, he faced his share of non-human rogues like the subterranean shape-changers and such. So he'd fit right in on Rann, maybe swapping places with Adam who temporarily protects Earth-Four from evil.