Using a trap seems like an good option. Traps made of coaxial cable generally work well even though the Q isn’t as high as traps with discrete L and C components. I’ve made and used them in dipoles, but not in a vertical.
There is an antenna called the Battle Creek Special that was loaned out to several DXPeditions. I think it covered 160, 80, and 40 using coax traps. It was generally set up as an inverted -L.
I’ve made fan dipoles from ladder line and they work fine even though many would say spacing must be 6 inches or some other arbitrary figure. I’ve thought about making an inverted-L using <>65 feet of ladder line and adding a wire to one side to resonate on 160. Connect the two ladder line conductors together at the feedpoint. It would be like half a fan dipole. It might take several adjustments to get it right on both bands, and if using a tree, that could be tedious. You could also just use a second wire as the 80M radiator.
My 160M inverted-L has ONE radial. It definitely needs a few more.
73,
Dennis/RZ