Raised hatch lids are and always have been a problem for me. No photos right now. Perhaps I'll make some as the day wears on. I broke a seat yesterday so I'll be in the shop a bit. It is prime fishing season, so boat building is pretty slow for me right now.
One other problem I've got right now is swollen and delaminating raised locker lid edges. Making them out of any kind of wood is, I think, a mistake. If you do use hardwood or plywood (for a raised edge on a deck or locker opening and/or on the actual lid) you have to painstakingly fiberglass it like a mummy. Else the wood will get wet and swell--and cause your teeth to wear down.
Perhaps the best solution is to bite the bullet and make a quick and dirty visqueen mold somehow, in place, so you can make a fully laminated raised edge to the opening, where no wood is involved at all.
If you do want to cut strips on the table saw, and maybe glass that in place manually, one solution that seems to be working for me is to use MiraTec fascia material. It's heavy and hard to cut. But it doesn't swell and fiberglass sticks to it just fine. I used to be a sub-contract roofer. I did new construction only and cedar only. Cedar Shingles and Cedar Shakes. I made that a specialty because they pay a lot more. I was good at it. Made good money too.
I'm getting diverted. But fascia material (the vertical edge at the ends of roof rafters) used to be a maintenance nightmare for roofers in those days. Until MiraTech arrived. It's sawdust mixed with resin and molded into long boards. You can machine it. Use a sharp blade and go slowly. You can make raised locker lids with MiraTech that never swell or delaminate. I glue it right onto the edges of Plascore panels and then glass over the outside edge only. It's been a year now on one boat and it works just fine. My other boat has hardwood raised opening edges and they keep delaminating, every time it gets wet. And boats do have a tendency to get wet.
Although next time I think I'll even ditch the MIraTech and mold the whole thing out of fiberglass. In place somehow. What the hell. Why go to New York and get off in Chicago? Anyway. What ever you do. Don't use wood for raised opening edges. It's bad for your teeth.