I'm with xray on that... while it might be technically possible (with some custom firmware on the linksys)... is suspect it would be work. A wifi adapter might kill 2 birds (just get one with the little stand you are after included
).
I am not much of a fan of wifi on stationary computers. I try to ethernet everything but my phones and laptops.
Check your baseboards, many have gaps at the bottom through which you can stuff and tuck an ethernet cable where it can't be seen. Many times I've seen people do this to avoid drilling or dropping cable through the walls. If the total distance (including weird dips around doors etc) is very far consider having someone just make you the ethernet cable... as pre-built ones get pretty expensive once you hit the 100foot mark, plus a custom built one will be the thinner in-wall cable and might fit better in the baseboard gap.