LMiC being "LoRaWAN in C" (named when LoRaWAN was still called LoRaMAC), I doubt it should be your library of choice when you don't want to use LoRaWAN.
For plain LoRa, see Adafruit Learning System for some Arduino examples. Note that duty cycle limitions still apply, but I don't know if the Adafruit libraries enforce that.