This has become a very interesting topic and, yes, sometimes the industry standard cannot be accomplished due to other factors. I was basing my answer on the assumption doing the job to standard could be easily done and I have seen some cases where the minimum to "just get it working" was done when there was no reason for this.
There are some pretty cheap solutions to extend Ethernet over 1 pair or even over different physical mediums. I had a site that just needed one PC in an adjoining building and wireless would not work due to the buildings construction. There was perfectly good CAT 3 between the building already. For about $200 the customer purchased an Ethernet extender from Amazon that would extend Ethernet over CAT 3 to something like 1000'. This was much cheaper than pulling a CAT5 UG cable. I installed, it came right up, and we scored about 50Mb on a bandwidth test. In this case, it would be more than what the user needed for web browsing, printing, etc. I would not recommend this for something bandwidth intensive but for 1 or 2 users it is fine.
Switch to switch will work too if you have to do it. Just remember though, that all the users on that switch will have to share the bandwidth available on the 1 port back to the data closet. For the average user, they are not going to notice, but you might see some performance problems where multiple users need high data throughput.
One thing I have come to appreciate in this industry is that there is rarely 1 right answer. Some answers are better than others but we seem to always find our way. ~ Mike