First, congrats on the upcoming nuptials. I'm also getting married, so I know how hectic these next few months are going to be.

That being said, here is a couple pieces of advice I can offer. In terms of the tie, are you sure you want to wear one? Beach weddings are about as casual as wedding ceremonies can get, and a lot of people tend to lose the tie for them. I personally think it adds an air of nonchalance. If you do ditch the tie though, make sure you have a proper dress shirt (i.e. the collar stands up on its own, and collar stays are present).

If you decide to stick with the tie, I would definitely avoid satin. This is all just my opinion, but to me it screams formal and will look out of place, especially with a cotton suit. I'd go for something that's either silk, silk knit (great punch of texture for a summer suit), or cotton so the texture matches the suit. As for color, since you have no wedding party, I don't see the need for your tie to match your wedding colors. (I'm assuming the bride's dress will be white or off-white). I'd avoid trying to match something exactly since you'll most likely fail. Maybe either match the color of your suit, or match one of the complementary colors, like the orange or pink I'm seeing in the gallery above. Or find a different complementary color. For example, the bridesmaids in my wedding are wearing mint green. Instead of looking for a tie that perfectly matched their dress, I chose a complementary color for the groomsmen's ties (navy). Just something to think about.

On to the shoes. First, I'd seriously consider going without socks, or wearing some "no-show loafer socks" to fit the casual atmosphere. Just understand that your pants need to fit a certain way to pull it off. Tapered, no-break or slight-break.

Second, I'd skip the wingtips. Although they're actually less formal than cap toe shoes, most people think they're very fancy, and they'll pull attention from the rest of the suit. I'd chose the cap toe between those two options, but I'd look into other styles, such as a loafer (love the Cole Haan pinch penny loafers) or a monkstrap, which is versatile enough to be worn to the office, with a cotton suit, or with dressy jeans and a nice button up. Something else to consider, you could also rock a pair of all-white sneakers, especially if you're going with a white (not ivory) shirt. Make sure they're extremely clean, and look for something with minimal other colors, like Jack Purcells or the Converse All Star IIs (not the originals, since they have the red and blue stripes). Definitely lose the socks if you go with the sneaker idea.

Anyway, hope any of this helps. It's rather difficult to give advise without knowing what your typical style and fit looks like, as that would let me know what type of styles you're comfortable with. Most importantly have fun, make sure to tell your bride how beautiful she looks, and enjoy the start of your new life together.