styrene is tough stuff and easy to cut (score with knife and snap ...then sand)comes in a bunch of thicknesses ,easy to sand,fill and paint..
That said ,I love basswood for LP stuff and even mid power ,easy to cut ,fill with SIG filler ,sands easy,strong, tight grain and strong for it`s weight.Just keep in mind where the grain of the wood going and you`re good to go.Bass wood comes in the usual thicknesses (1/16 ,3/32 ,1/8...most common)more then enough for what you need.
Plywood is nice stuff too ,comes in a bunch of sizes and thicknesses and strong as Russian female weight lifter.
Try the basswood ,you will like it.Just remember ,if it comes in hot.....it`s gonna bust no matter what you have strapped to the body tube.
Also, it makes a difference on how you treat the wood (CA ,epoxy, paper & glue etc.)
BB