I don't really want to lead you straight to the "meta" BH builds, 'cos finding your own way is a lot of the fun in this game. I do have a few comments, though
Firstly, FDL is definitely not "the best" ship for PvE, although I'm sure it would do the job. It's one of the meta builds for PvP, but that's a whole different game. For medium combat ships I love the Krait MKII - it's an excellent ship with a great cockpit for VR, and so I think you'd probably have more fun flying it.
Secondly, are you aware of sites like
Edsy and
Coriolis for planning your ship builds? They're invaluable, especially when you're getting into optimising the engineering on your hull reinforcements and shield boosters.
Mirrored surface armour = No. Don't waste your money on that. I'd be inclined just to run with Lightweight and see how you get on - PvE is not that difficult to avoid dying, but if you do want to upgrade, Military or Reactive is the way to go.
Bi-weave shield = Yes, good call
I don't see much use for a Wake scanner in bounty hunting, and that super cruise assist is taking up space that could be used for more hull or module reinforcement. So is the docking computer, to be honest, but I'm lazy and I often keep that one
Most importantly, though - don't worry about doing it "wrong", just get out and try things! Some engineering will help a lot, but you don't need to stress about optimising everything. Modules can be sold back at cost (losing any engineering, of course), so don't be afraid to mess around