I can do a width without too much trouble using a backstroke (still inhaling some water, but I’m not letting it stop me mid-width).
Front crawl’s still the doozy. If I keep just below the water, holding my breath, and just using my legs: I go fairly fast across… but I that pesky need for air is still stopping me mid-swim.
Breast-stroke’s a tad better. Managed to come up for air once or twice and actually get air into lungs.