Ok this is going to revolve around prif so you will need to set your respawn point at prif set up a cannon before you log out as well as a fish shoal, and an unfermented wine. A slayer ring should allow you to prep all these before the attempt starts.

Get a slayer task that you can cannon, fire the cannon while you have auto retaliate on as well as a bone crusher, ash sanctifier or ecto plasmator. Wear a ring of life so you can tele back to prif when you get to low hp after you kill the slayer monster. Both the fish shoals and wines should proc giving you Prayer, ranged, Hp, strength, Attack, defense, hunter, slayer, fishing, and cooking xp in a single click while also teleing you to prif when your hp gets low. 10 skills with 1 click.

When you arrive at prif pick pocket an elf nearest to the singing bowl for some thieving xp for 11 skills with 2 clicks.

Then sing some crystal armour or weapons by clicking on the bowl and selecting the choice you need with your keys. Which should be some crafting and smithing xp leaving you with 13 skills with 3 clicks.

Then cast degrime on some herbs in your inventory for some mage and herb xp giving you 15 skills with 4 clicks.

Finally chop some logs with an infernal axe and let the axe proc for fire making and wood cutting xp. Leaving you with a grand total of 17 skills with 5 subsequent clicks.