The trekking pole supported tent manufacturers all provide poles (for a few dollars and a couple of ounces extra) for those who don't use trekking poles. Those of us trekking pole users who occasionally basecamp and dayhike have a similar problem. Either we dayhike without the trekking poles (no good for me; I must have them for balance issues), carry the tent poles or spend a lot of time searching for a suitable stick to hold up the tent! As I get older, I do more and more of the base camp style of backpacking, so I'll have to get the extra tent poles, too!
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May your trails be crooked, winding, lonesome, dangerous, leading to the most amazing view--E. Abbey