If you are not going to go JTAG or RGH to use any drive then I should note if you are going to find a copy of the backwards compatibility partition (if your drive has died then you are presumably not going to be able to pull it from that a la the guide linked) that you should make sure you are getting the original version and not a hacked one aimed at the JTAG/RGH family (the hacked one unlocked a few more games, regions, allowed for hacked games, some homebrew and whatever else).
Oh and good luck finding a drive. I did a quick search for some of the model numbers just now and they are mainly ebay listings at this pointand I am always hesitant to do that for spinning rust drives, and that is before we mention the several listings mentioning things like bad sector.
I should also note that later on life the 360 gained the ability to use USB drives for saves, profiles and whatever else. Such a thing might represent an easier way to get you up and running again.