Have a look on Google Maps at "Golf Las Americas"There are 2 resorts within walking distance, The Gara is closer and whilst the other backs onto the course doubtnit is accessible. Possibly not a Villa more apartments.
The ones that Will Max mentioned are away from the centre and Los Abrigos is 9 holes and not recommended.
Depending upon what you are after it is central about 1.5 miles from The Centre of Las Americas. Avoid Veronica's at all costs at night.
The prices for courses increase steeply during the winter months to accommodate the people from Northern Europe especially Scandanavia
We play at las americas course but stay in los cristianos, its 5mins in a taxi and cost us about 20 euro per taxi return. las americas do a 3 day pass for 250 euro depending on what time of the year you play and a buggy is 40 euro. nice club house, good range and putting green and its a nice track.
Hope you have a great time whereever you end up