I know how you can cheat the system. You can have a .38 that shoots like a .357 Magnum, assuming you reload. All you do is buy a used (I don't think they make them anymore) .38/44 Outdoorsman or Heavy Duty. It's basically an N-Frame .38 Special, but it is strong enough to load the .38 Special up to .357 Magnum levels of power. Plenty of space in the case for powder, since the .38 Special was originally a black powder round, which was more voluminous for the same power level.
Short of that, get the hottest plus p loads you can find. Try Cor Bon. They load the .38 to near magnum levels, while just staying inside of the SAAMI specs for .38 Special. Good luck.