Whoa, even better... apparently the $999 limit is weekly; not monthly. My bad.

"Are there limits for sending and receiving using the Lightning Network?

You can send, or receive payment of up to $999 in bitcoin every 7 days using the Lightning Network.

All limits are based on a rolling time frame, and limits reset at the top of the next hour. If you send $500 worth of bitcoin on a Tuesday at 2:05 PM, this amount will be available again the following Tuesday at 3 PM."