I don’t have a good fit, but I can share some general guidance. If you’re adamant about avoiding drones, then I’ll say- missiles are a solid choice for PvE.
However, if you want to be flexible between PvE and PvP- I suggest skilling toward turrets as a better overall choice.
So, I’m terms of range, you’ll probably have to use the in-game fitting simulator for exact numbers, but you should be aware that your range is very dependent on ammo type/equipment. In the end, you’ll have to make a choice between: long range or high dps, or some sweet spot in the middle.
Also, I totally get that you don’t want to invest in skills you’ll end up never using, but to make the best choice- you really should try different things out. I suggest that you level the different weapon skills to level 2 or 3 (which shouldn’t take very long at all)- and test it out. If you enjoy the play style- and want to get better, only then should you skill to lvl 5. Not a big deal if you have some level 3 skills you never use since it’s not much of a loss.
Passive shield, rapid light missile launcher , drone boat Gnosis. Same ship but with active tank for level 3 missions. Than sentry drones Dominix (range tank). After that = Rattlesnake + Machariel.
T1 Gallente, 100m ISK: Get some Thoraxes and try Railguns and Blasters. If you want to do T1 Filaments, also get an MTU. You’ll bring a set of light drones, but your main weapon should be hybrid guns.
Another nice T1 cruiser is a Bellicose (Minmatar Cruiser) which can fit missile launchers.