Probably should make one thing clear here, as long as
it's just the one room
and the garage, I plan on simply running one cable and connecting a hub in
the house to a hub in the garage.
It's fallen a bit out of fashion in the past few years, but 10Base2
(50-ohm RG58 Coax) is particularly useful for the "home runs" between
twisted-pair hubs. Many twisted-pair hubs come with Coax connectors for
just this purpose.
I don't think there are any 10/100BaseT Hubs that have a 10Base2 connection
on them though, and the 10Base2-to-10BaseT adapters cost about $100-200.