Sproing! Sproing!

Complete Pogo Party without using Tall-nuts or Magnet-shrooms.

Strategy
The achievement is a little hard to get. To get it, you should pick the following:

Sunflower

Squash (with Imitater)

Melon-pult

Kernel-pult

Jalapeno

Flower Pot

Winter Melon

[open slot] (either pick an Umbrella Leaf)

You strongly need a rake.

As the achievement states, avoid using Tall-nuts or Magnet-shrooms. Start off with early Kernel-pults and save a column of Melon-pults. You can use the Squash to kill the zombies, but it is Not necessary. Bring in your Winter Melons and you'll win the game. Let your Roof Cleaners kill the zombies, however, this is Not a good idea to use them as you'll get a few money.