Paint it same color :)

Well the cover at least. Maybe try a darker receptacle

Black receptacle with blue plate? Very traditional.

I agree that it will stick out if done in white. I have a dark brown island and forgot to say something to the electrician. It drove me crazy so I replaced it--I was lucky that Lowe's carries dark brown plugs and covers that matched perfectly.

My father has painted most of the outlets in his house to blend with their walls. He has to touch up every now and then but mostly looks very nice.

Decora & Lutron have quite a large color selection of outlets & plates. I thought I had seen their enire collection at a lighting store. Our KD had access to additional colors that were not available at the retail store.

Was the island custom painted? If so, can you get some paint? If not, maybe take a drawer to the paint store and have them color match it.

If you purchase metal switch plates, the paint will adhere.

Under the overhang violated code in my city - we had to take it out to pass inspection (that was on the seating not side of the island - we also have one on the front).

I told the GC and the electrician that we couldn't put an outlet on the panel under a seating overhang but they didn't listen and we failed the inspection. You can't have an outlet under an overhang of more than 6". The inspector did say that we could use a surface mounted box right at the edge of the overhang. It's ugly and I hate it. We are going to figure out a better solution. I have seating on 2 sides of the island, a bookshelf on the other short side, and drawers all across the front. I REALLY wish we had planned a strip at the top of the drawers for a few outlets.

As for the OP's question, I would paint the outlet and cover plate to match the island.

There's gotta be something here that will work.

We have a black one on our dark brown (nearly black) peninsula.

In other walls I have used these:

https://www.invisiplate.com/product-category/products/knock-down/outlet/

we have a green island and black outlets

Thanks to all who weighed in on this. I am happy with our end result. We ended up doing a stainless cover with gray outlet. Here are some pics. I think it is way better than white would have been. BTW, the blue is more navy in real life. It just doesn't come across correctly online.

That worked well! The island does look navy on my monitor - I like it. ;-)