Wireless adafruit RGB LCD shield with nrf and arduino mega

I have this RGB LCD shield: https://learn.adafruit.com/downloads/pdf/rgb-lcd-shield.pdf

It uses I2C to communicate with an arduino. I also have two nrf24l01 transmitter/receivers. I was thinking about using this: NRF24L01 Wireless Shield SPI to I2C Interface for Arduino RF(ISM) Communication :Elecrow bazaar, Make your making Electronic modules projects easy. nrf to i2c converter to make things easier.

Basically I wan't to make the LCD shield communicate wirelessly with a mega.

My main concern is connectivity and latency, since I am using the keypad on the LCD shield to navigate a menu system I have programmed into the mega. There are things like selecting and changing values, holding down buttons increases the rate of value increase etc... so I don't want it to take 30 seconds to register each button press.

I also want to be able to use the wireless shield around my house and have the mega in a central location. I have not tried using the NRF24l01's yet.

What is the feasibility of this project?

I feel like I need to bump this post. Will using the nrf to i2c interface suffice for my requirements?

Can I communicate between the LCD shield and arduino over nrf24l01 directly or do I NEED another micro controller on the LCD side as well? And if so is it viable for detecting button presses?