Sorry, I just looked at your posting and see you are in Denver. My recommendation still holds but find a local tea shop. :)
Go loose leaf tea and try New Century Tea Gallery in the ID. They have a very big selection (dozens) and it's family-run. Try an Oolong for your cold. New Century does amazing Chinese-style tea tasting and you know what you are getting for your dollars.
Try brewing Gong Fu style youtube.com/watch?v=MtWVkv_... You can do it with a simple teapot and some cups. It's a whole new experience and you'll find it tastes fresher more vibrant and it lasts much longer.
Has anyone ever tried The Medicine Ball from Starbucks? Great for when you’re sick but I love it all the time. I came up with a copycat and it’s Teavana Peach Tranquillity tea and Teavana Jade Citrus Mint (the Tea bags are actually what SB uses) brewed together, then I add TrueLemon lemonade powder -comes in a little stick pouch- and honey to taste- SO yummy!!
Canela (cinnamon water)! All you do is boil hot water and add cinnamon sticks. Then let it cook on high heat until it boils. Serve it with some milk and a bit of sugar (if you like it sweet) . It’s also my remedy for sore throats or when I feel sick.