Han Solo FTW.
In this scenario, he has the home turf advantage because the fight happens aboard the Millennium Falcon. I'm sure Han has it rigged with trap doors and booby-traps that he could use to his advantage. Han's blaster MVP (I'm assuming that Indy has his pistol and plenty of ammo).
HTH, though, Indiana Jones has been shown to tank much more punishment, giving him the edge.