However, I had initially used an icon I had found online with a plain blue banner image. Now that the bot has started getting some traction, I have decided to put a call out on /r/logorequests and I found a few parties interested in the task. Some of the responses, understandably, requested money for the task. However, I had to turn them down.
One of the messages was by Issac Mikel, who was excited about helping out. In a few days, he created a nice banner image:
and the icon for the bot:
Now, I am using those for on the Twitter page!