Sailak,
Since you have two people on board, you situation is facilitated a bit. First of all, there have been suggestions that you back out of the fairway, which in principle would use the combined propwalk and wind blowing bow to starboard to align you with the fairway. In 15 kts. with the wind now almost directly from abeam in a crosswind, that is not likely to work on a fin keel boat, since (at least on mine) the bow falls off rapidly downwind when experiencing a significant cross wind. In this situation, backing harder to get control simply walks the stern to port while the bow is falling off to starboard. This is not totally bad, as you are now in position to shift into forward with hard rudder and lots of power to complete a 180/270 turn and continue forward down the fairway, assuming the fairway is not too narrow so that you are approaching other boats.
Another possibility you might want to consider is use a special long
line as follows. This would be in addition to your normal
lines and rigged before you take in the normal lines. Tie off a line from the bow
cleat, pass this line outside the life lines back to the stern dock
cleat, around the dock cleat back to the bow cleat on the boat. Station your crew here to tend this line. Take in all normal lines and start backing the boat out out the slip. With only 10-15 degrees of cross wind, use only enought propwalk from backing to keep the boat more or less aligned with the slip and off your neighbor's boat. The wind will do most of the work blowing the boat out of the slip. As the boat is moving down out of the slip, your crew will tend the special bow line (she should have her end snubbed around the cleat so the cleat takes most of the force), taking in enough line to allow the boat to move down the slip without the bow falling down on the adjacent boat. When your boat clears the slip, keep this bow line attached and have the crew to start paying out her end of the line, while keeping enough tension on the line to keep the boat pointed directly upwind. The wind will blow the boat directly downwind into the fairway with little or no backing from the engine. When she reaches the end of her portion of the line, shift the boat into forward with hard left rudder, give the boat a sharp burst of power to kick the bow to port and so as to get the wind on the starboard side of the boat (so as to swing the bow to port, thus helping align the boat for a forward departure from the slip down the fairway. Put engine in neutral and drift downwind until you have room to shift into forward and to complete your turn to depart the slip down the fairway bow first. Meanwhile, you crew has released the free end of the bow line, and is rapidly pulling it on board...the free end pulls around the dock cleat and then back on board.
As for docking, this seems to be a ideal place to use a spring line to hold the boat against the pier and off your neighbor. Pre-position a spring line from your midship cleat and have crew drop this line on the stern dock cleat as the boat goes into the slip. Then, just power forward a little once the line goes tight and the boat should hold up against the dock while you get the other lines. Aslo, in all these evolutions, it would be a good idea to have
fenders rigged just in case things don't go according to plan. Also, after going though an unplanned docking evolution once. I always make sure that I have two spare dock lines in the cockpit for emergency use, along with two boat hooks.