You'll find that it's somewhat RNG. If you feel like you're not getting any less spools than you should from luggage, it'd be wise to restart and see if you get any luckier.
Rope Spool contributes 12.5, while Rope Cannons shoot 7.5. This means it takes 8 Rope Spools or 14 Rope Cannons to get the achievement, but it's likely you'll be getting a mix of both which all adds up.
If you have no space for Rope Spool, you may as well just use the rope to it's fullest there, as you don't need to survive to earn the achievement.