If you want longevity, reliability and decent economy in addition to noticeably more power, here are my suggestions:
1. Don't increase stroke. If this motor was going in a toy, by all means get all the cubes you can. For a daily driver or a motor that is going to see even moderate street duty I'd stay away from a stroker, especially one with a 4" stroke. More stroke means more piston travel per revolution, which equates to more heat, wear, and stress on components. There is a reason why most industrial engines use a shorter stroke than their light-duty counterparts: increased longevity and reliability.
2. Build a basic, but stout bottom end. I'm not up on mopar stuff, but I assume the stock crank and rods are good for at least 350-400hp. Have the crank turned, the rods magnafluxed, and spend the little extra money to have the rotating assembly balanced. Use ARP chromoly rod and main bolts. Hypereutectic pistons are a good choice for a street motor, sturdier than stock cast pistons, but without the cold startup clatter (or price) of forged pistons. Do the math based on what cc head you will be using and buy pistons that will give you a static compression ratio between 9:1 and 10:1, 9.25:1-9.5:1 is generally good to run on mid-grade gas.
3. Match your heads, cam and intake to what you
realistically want to achieve, idle to 5500 rpm range is probably what you should be shooting for. Again, I'm not up on mopar stuff, but maybe your stock heads, or another stock casting with some port work would do what you want, maybe not. If you go with aftermarket heads don't go too big on the runner size, 185cc or less. In the long run I think iron heads will be the most reliable and easy to deal with, but honestly I don't know if there are many iron aftermarket heads for the 360. If you go with aluminum, buy something good quality. Some of these cheaper newer brands are not what I would consider a quality head, you will have a lot of issues with them. AFR, Trick Flow, Edelbrock and a couple others make good aluminum heads. Be sure to pick a cam that will keep your EFI system happy, there should be EFI specific cams available. Flat tappet is fine for what you are doing, just break it in properly and use quality oil.
I think a well built, naturally aspirated 360, with properly matched components and proper tuning would give you everything you want. The motor in my '79 is just a mild build: 9-9.5:1 compression, port work on stock heads, properly matched cam/intake/carb, headers, etc. When you drop the hammer on it things get violent.
