If for example you ran the telephone-line 50' and it passed by a number of high-interference-devices the quality of your signal would change and depending on severity you could lower your DSL bandwidth, say that you pay for 50/10MBPS maybe you are only synced for 42/7 or lower, you often do not get the entire amount you pay for anyways, you can also often see this information in your DSL Modem Web UI.
If for example you ran ethernet 50' you could run into the same high-interference-devices on the run but since you are now switching to a packet-based transmission system with usually at least 100MBPS bandwidth on the run, even if you dropped half the packets they would be retransmitted and you would not lose any Internet bandwidth just bandwidth on the ethernet run. In fact CAT6 ethernet cables are shielded and CAT5e are slightly, not that you couldn't run a telephone-line down one of their twisted-pairs.
I am not 100% sure about a 50' run from bridged modem to router setups for PPPoE login but that would be an odd setup as you would usually have the modem and router together, but I believe you would not run into loss of Internet bandwidth.
As for cost, the telephone-line would probably be cheapest unless you already have a 50' ethernet cable or know someone who has wire and crimpers and can make you a specific length. I personally would invest in a quality CAT6 or higher cable for the future or start thinking of another transmission method altogether like wireless which as of writing this wireless 802.11ac Wave 2 is just starting to become available.