Short answer: Yes.
A more detailed (and nuanced) answer: The answer to your main question will depend upon what you intend to do. You mentioned you'd like to purchase either a rental or second home (vacation home or new residence?).
By the way, your question, "Will beach properties remain a strong investment when the market recovers?" is a wrong and dangerous one. You'd be buying on speculation--which is a NO NO--if you were to act upon any recommendation(s) to buy now anticipating the future marketability of a property.
Since you'll probably get a lot of advice on buying a second residence from others, I'll focus on a strategy for rentals. First, you made 2 incorrect assumptions: 1) that you couldn't afford to purchase a property along the beach, and 2) that it might take a year to sell your ski condo. You don't know how much bang you'll get for your buck until you put out a few offers. There is a large enough supply of houses on the market, so you really should be able to find something along the beach (if that's what you want).
Second, do you already have an agent? If so, then does that agent specialize in handling 1031 exchanges? If not, then you need to change agents immediately. You need to work with an agent who specializes in handling 1031 exchanges. 1031 exchanges aren't so complex that a non-specialist couldn't figure out how to get the job done. The main reason why you want a specialist is that s/he has a network of relevant contacts (buyers, sellers, etc) for handling these kinds of deals. That specialist should be able to help to pair you up with buyers/sellers such that you should be able to sell that ski condo sooner. That specialist should also be able to quickly produce a marketing plan to help you through all of this.