I'm idleing in textmode and with other such launch parameters. Apparently, I received items. Items are queued until death, at which time they will be presented to the player. If I don't die, will I still be able to receive new items from the item drop system?
If you play only in textmode your queued items will still be available to trade. No need to play a normal round and die to get your items. Even if you have done this for, say 4 weeks worth of drops, you'll still be able to trade them.
Go to tf2items.com and put in your steam ID/profile name, etc. and it can tell you what items you have queued. These items are still available to trade whether you are in game or not.
EDIT: You can receive new items while you have items in queue. Your queue can become very large.