Methods of operating an electronic device are provided. A method of operating a first electronic device includes listening for a wireless transmission by a second electronic device on a wireless communications channel. The method includes determining whether a packet is a particular type of packet. The method includes assigning a randomized time delay value that defines a randomized delay period, in response to determining that the packet is the particular type of packet. The method includes beginning the randomized delay period in response to determining that the wireless communications channel is clear. Moreover, the method includes transmitting the packet via the wireless communications channel based on expiration of the randomized delay period. Related electronic devices and computer program products are also provided.