RFR battery charging

Here's a question on the radio focus remote for the Ion and charging it's battery:

 

For 1 console, we'll be charging it frequently because we'll being using it 3 days a week.  We'll charge it between events.

 

For our other venue, the RFR won't be used for months at a time.  Should I find a secure place to hide it and plug it in, leaving it to trickle charge for 3 months, so should I lock it away, and assume/hope it will have power for the first day of tech when it is needed, and then it will be charged after that first day as normal?

 

Will the charge switch from charge mode to trickle mode once the battery is full, or will it keep CHARGING the full battery?

 

Thanks.

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