You can try the UE600 for sure just remember, as Joker mentions, they differ with source output. Also the cable thing. Just trying to say there are things for people to take into consideration. For the $50 it might be worth it just for what you learn from them.
Depending on how they match with your player's output will tell if they outperform the Tenore or are on a similar level. If the armature bass is more or less to your liking than the Tenore driver(which should still have more bass amount), I can't say. Fit and tips play into performance as well. You don't know till you try though. I would say the UE could be the better phone but don't expect that much better until you go higher up on the food chain.
If you go by Joker scoring the Tenore are better than the CKM500(8.1 IIRC) so not far from the 8.6 of the UE600 which again is more picky with source and may not sound that good with your gear. So, you see what I'm getting at. Expect a bit different but not major improvement and which you like more is about your taste so I, nor anyone else but you, can say what the result will be.
A small correction, if you want try the VSD1S not the VSD1 since the signature of the VSD1 is not matching with the Tenore or UE600. The VSD1 doesn't seem to be what you want. Again a similar level(in the 8's).