If it's short period wind swell, and of decent size, it can be a little challenging. Since it sounds like you can't duck dive your board, you have to employ some of the same strategies a longboarder does.
The first step is observation. Even in short period swell, there is usually some kind of lull you can take advantage of. Watch the waves for a while before you step into the water. Even on a beach break with no jetty or obvious rip, there's probably a spot where there's an outflow or at least some deeper water, and chances are the waves won't be breaking quite so relentlessly there. You can take advantage of that as a place to paddle out.
When you anticipate a lull (based on your observation of the conditions), paddle like you mean it. A big part of making it outside on a bigger board is strategy and timing. Try to avoid getting off the board as much as possible. If the incoming whitewater isn't huge, try and push up off your board and let it pass between you and your board, then immediately get back to paddling. If you have to turtle, waste as little time as possible getting back up onto the board and paddling. And if you truly time it badly and are getting pounded, there's no shame in just riding the whitewater back to shore, catching your breath, and picking a different spot to paddle out.
Lastly, there are some days where the combination of conditions, your experience level, and the board you're riding mean you simply shouldn't be out. I look at it this way - if the ocean spits me back out a few times, there's probably a good reason