The domi is probably the best bs to put a lower sp pilot in, or the 'geddon considering it is no longer a gunboat.
Large turrets need solid gunnery support skills to apply meaningful damage, and faction turrets won’t make as large a difference as faction drones will. Just fitting large turrets with low core fitting skills will usually force you to make some compromises.
A well tanked neut domi can complete every L4 as well as easily shut down player tackle if you mission in lowsec. It is an ugly ship that can put up a truly ugly fight, and might just get passed up for a prettier kb trophy.
A few words of advice about your first battleship, and taking on L4s (which are a substantially larger increase in difficulty than L3s are when compared to L2s).
Pay attention to how long it takes to align to, and enter warp. This could be extremely important later.
Don’t fit for cap stability. You don’t need it, and making your fit cap-stable is probably going to end up reducing your dps, projection, application, mobility, or tank.
Instead, focus on not aggressing the entire mission pocket, and maintaining your range to the most significant rats that have you targeted. With the exception of gurristas, most rat BSs can’t hit you much past 45km or so, use this to your advantage; an AB + intelligent piloting is sufficient to ensure you don’t let your tank get overwhelmed.
If you are missioning in highsec you can forgo the neuts and fit a remote armor + hull rep to keep your drones in good shape without paying repair fees.
Have an escape planned in advance; align before things start to get too hot. Remember how I told you to pay attention to how long it takes to align + enter warp? You need at least this amount of reserve time once you’ve noticed your tank is failing to keep ahead of oncoming dps, so be ready.
Stick to a drone boat until you have solid gunnery/missile support skills, you will be much more effective.