Artickokes is an obvious one, but might distract from the taste. I haven't tried it yet, but I think raw jicama could work well. I also think raw mushrooms (like button mushrooms) would soak up the olive oil well without lending too much of its own flavor.
Eggland and Zucchini should work well. You might also purchase some GF bread and use it as your safe starch, though personally I prefer my safe starches to be more nutritious. Broccoli would probably pick it up well too but is hard to digest raw and I'd rather eat it roasted.
Both eggplant and mushrooms soak up oils like crazy, although raw eggplant might not be too tasty. Artichokes would be good, spoon it over a good quality canned tuna maybe? If you have access to a really good butcher, it's awesome over beef carpaccio.