Would there be any possible way to implement the ability to either drop a quest, or not be allowed to pick up a quest item randomly?

The reason I ask is because I would like to be able to simply explore the world on my own initiative, and the random retrieving of a quest item for a quest I probably wont start anyway adds to my weight limit without being able to get rid of the item.

So far on one of my previous characters (high elf supermage that I used cheats to get daedric armor and super enchants on) I have accidentally picked up several quest items (Amren's family sword, Finn's Lute, etc) and I have no way to either drop those items or store them anywhere. I'm sure the lute is for someone in the bard's college, but I haven't the slightest interest to find out.

Also, simply talking to someone about a problem they're having without being able to basically tell them you're not interested before a quest is added to the log has become somewhat of an annoyance because I'm trying to finish off every single quest in one particular place at a time. I now have quests from Markarth, Dawnstar, and Solitude mixed with my Whiterun quests.

Perhaps there's a mod out there I don't know of that removes quests from your log?