Hey There Sally!
There are of course several golf course communities on the South & North end that feature homes and condos or villas for weekly rental by the individual owners. The closest condo community that I am aware of in the "Myrtle Beach" proper that allows weekly rentals is at Myrtlewood called "Magnolia". I did an extensive amount of research before making my investment purchase last year and Magnolia was an option but not exactly what I was looking for as far as overall "community package".
However, since you are familiar with the Surfside area, have you considered Tupelo Bay Golf Villas? From an "owners" perspective (I was one of the first to buy at Tupelo Bay), you really won't find anything on the grand strand that compares with regard to construction, location, amenities, and overall lifestyle in the price range they are.
In addition to being an owner of a Tupelo Bay Golf Villa since June of 2006., I am also a Broker for the Real Estate Company who markets Tupelo Bay Golf Villas. We do allow weekly rentals and have had great success relative to it being the first full year. Some of the buildings are still under construction but many of the community "resort style" amenities are completed including indoor & outdoor pools, full service fitness center, tennis courts and most importantly, a shuttle service to the beach which have been in "full swing" all summer.
The summer rentals this year were so much better than anticipated and there is also a "waiting list" for winter "snow bird" rentals. The "feedback" we have received from both owners and renters this year have been "glowing" so I am extremely optimistic about future rental seasons. The remaining amenities are in the process of being completed which will include a full service summer kitchen adjacent to the pool complex, a car care facility and a social activities director.
I suppose I could go on and on but if you haven't had an opportunity to see Tupelo Bay, I encourage you to check it out before making your decision. The homeowner fees are extremely low relative to what is included ie) insurance, extended cable and even golf privileges.
I would be delighted to share with you my personal experience as an owner and can also assist you with the availability of what is for sale, including the remaining pre-construction incentives. I can also provide you with a 1st year rental history for some of the Villas in addition to providing access to current owners who would also be happy to share their experiences with you.
In closing, feel free to give me a call or contact me by email via the "web reference" listed below. I look forward to speaking with you!
Take care and good luck in your search!