It depends on the way they actually spare Nappa. I'm assuming Vegeta never bothers killing him but is killed during the battle, so on the way back to get the Z Fighters' bodies they find Nappa and decide to spare him because of Goku's appeals. That said, i think he'd join the Z Fighters for a lack of option. Because he got his spine broken by Goku he'd have to stay until the Senzus where on point, so he only lefts with Goku and trains on 100G with him.
Meanwhile on Namek, Kui nevers shows up because Vegeta is dead. Because of that, Gohan and Kuririn wouldn't have any trouble going around Namek and would likely wait on Guru's house and get their potentials unlocked. Freeza would likely want Dodoria to keep going around Namek to find them, so he eventualy finds then and gets killed by Nail.
Because of Zarbon being alive and Freeza likely not being aware of Dodoria's death, i don't think he'd summon the Ginyus, so only regular scum brings the Scouters. They arrive in time with Goku and Nappa, who'd likely have wasted all their Senzus because of being a duo, so they wouldn't need anyway. With the Z Fighters together, they effortlessy kill Zarbon and work together to finish Freeza. I think they would end up killing Freeza on his 2nd form, considering nobody would allow Goku to be stupid and let Freeza power up again.
A year later, King Cold blows up earth. The end.