You don't need braid to do that though the thinner diameter will help. There a plenty of brands of mono with a low diameter in or around .3/.32
A few things that will help would be a good casting technique, having the line on the spool out towards the tip of the spool and a proper weight to rod balance.
When you see “casting 4oz – 8oz” on a standard run of the mill sea rod don’t believe a word of it.
Sure it might be able to cast 8oz but more than likely it collapse under the strain. See too many anglers trying to cast 6oz leads on rods that are better suited to a 4oz/5oz lead. What might look like a small difference in weight can make a big difference in distance.
Maybe one of the casters on the site might pick up on this they have a better insight into these things
Now after all that I use braid for most of my fishing the best advantage is that fishing storm beaches with plenty of weed out there you have a better chance of getting you trace back.
My main set up at the moment is an ABU twin tip beach
http://www.tackledirectireland.ie/index ... ts_id=1131. A Shimano ultegra xsc loaded with 30lb. (0.17 diameter) spiderwire. The white top section will cast a 6oz weight while I’m more comfortable using a 5oz lead with the yellow top section.