Yes a basic monochrome eTrex would do everything you want – BUT (if you get the most basic yellow one) it requires a serial interface and you have to buy the cable separately. If you have a newish PC without a serial interface you might need to get a gizmo to convert to USB. If you buy new, then have to buy the cables you might find that you are only saving £50 or so against the price of a new Legend HCx which comes with all the cables, has better battery life (IIRC) and is more sensitive. The newer models also allow you to store waypoints on a microSD card
If you do decide to go for a cheap monochrome go for a Legend (which at least has a serial cable, as well as basic mapping). The Legend also has the facility to vary the intervals between trackpoints – making the storage capacity last a lot longer. Secondhand on eBay is probably the best bet as there will be plenty of people trading up.
You can easily compare specs on the Garmin website.