One can still land at the main beach (I think it's called Hay Point Bay.) It's the one just before Anguilla Cut as you approach from the SW. If you land elsewhere, ie the main dock for the old Drake's Anchorage Resort, signs will direct you to the left and ONLY the left.

Practically speaking, you can wander the island, and probably won't be hassled. Just stay away from the active construction sites. If you want to get to Honeymoon Bay, you'll have to judge whether it's better to approach from the east or the west....or scrap the plan entirely (depending on the active construction).

Just don't be too intrusive and you'll be fine.