+1 on the green bee design. I bought 6 GB bottom traps for my 8 frame equipment. They removed and killed more SHB than any nother trap I tried. I live 30 miles from Charleston SC, SHB ground zero. I don't know everything about SHB but there is a wealth of information about the subject on the internet.
I use latex caulk or wood glue to seal up places where the beetles can go but the bees can't. I use the Green Bee design bottom traps with cooking oil, no soapy water.
I have made 2 queenless splits. Both have become infested to the point of honey leakage. I had the GB trap under the 8 frame split but had used soapy water as the killing agent. The Nuc had a screened bottom board. Even after the 8 frame traps pan water had evaporated the larvae were caught live in it. I built the Nuc a GB type trap. Filled both with oil this time. Caught a bunch of bugs. I have and will continue to monitor the status of both splits. The honey leakage looks to have stopped.
The trick to these traps is that they are constructed with #6 mesh screens. This stuff costs $300 a roll for aluminum and $500 a roll for galvanized steel. Roll is 3'X100'. #8 mesh is common/cheaper and while it likely will trap the larvae and smaller adults it will not catch large adults. If I have an obsession now it is the SHB and I have just a touch of OCD.
Lifecycle: Adults, eggs in cracks and crevices where bees cant go, larvae in honey and brood if the bees are over wealmed by numbers, pupate in the ground, emerge a adults.
Break the chain win the battle. Keep equipment in good shape, seal up nooks and crannies where they hide and lay eggs, loose the screened bottom board (it only makes it easy for them to reach earth), Trap adults and larvae (whatever trap you think is the most effective), make life hard for them. Don't give up your bees don't.