I hit Lincoln beach a few times. It's really trashy.... Mostly I got modern change and bullets over on the side closer to the airport. A couple mercury dimes came out of one of the trails though. A lot of the change was just laying on top of the sand where the wind had blown. The rest of the place away from the beach is so overgrown that it's near impossible to swing a coil and there's a thick layer of cans and bottle caps over the whole place it seems. If you have a machine that will work on salt water beaches you might do better than I did at the water's edge. The briny water made my machine pretty much useless out there in the wet sand areas
One nice thing... If you go out there in the summer and take a crab trap with you and set it in by the rock breakwaters, you can catch some lunch while you detect....
I don't know if Ponchartrain beach is open to the public again yet, but I have pulled some jewelry and a few old coins out of there when it was. One big thing out there... When you're facing the water, the right hand side of the beach is just full of little rusty chunks of iron from an old sheet pile wall there that's been rusting away for who knows how long...
If you can get out in the water I'll bet you'd do ok because the erosion and storm surges have pulled most of the original beach out into the lake now.
If you do any magnet fishing and want to find a lot of old guns that the sheriffs tossed in the water long ago I can point you to a good spot