If you are stuck on a low OP level and want to get to a higher one, I would suggest farming almost none of these items because you will outlevel them quickly…
I couldn’t quite tell from your post, but that seems to be the case…so let’s look at what on the list is easy and what should wait till you get it on level…
Are you ok doing a re-set if necessary? I would suggest this if needed, as I’m going to recommend another re-set mid-OP levels unless you get someone to carry you, rocket jump glitch you or some such thing…Your gear will start tapping out around OP4-5 usually so I recommend a re-set at OP6
I don’t know Gaige well and got rocket jump glitched her to OP8 (didn’t take her to OP10 on the update) so I can’t help with your build, but there are good Gaige players on this forum who can.
On your list, the easiest and most powerful are the Sandhawk/Pimpernel/Bee combo which is ridiculously powerful and can be used with every character (even Krieg)…It just requires doing the Scarlett DLC and you just want corrosive ones, parts don’t matter as you will re-set later anyway…The Bee can be obtained quickly after re-set by farming Treeants in the 3rd level of the Tina DLC (you have to go a ways in the main story to get it from HH). You can get an Orphan Maker quickly too, but it’s a lot of farming to get a Rustler’s usually…
Other quick farms, if you have tokens, getting a good Harold isn’t super hard… You don’t even need a DPUH, a Hard or Intense one will do, aim for a Torgue grip, but again not super important…
If you have crystals, a good Florentine isn’t hard, you want a maliwan grip, but most pre-fixes are good (Apt, Consumate, Impetuous will all work)…Similarly, get an Antagonist with max stats as well if you have the crystals…If you don’t have the crystals and can’t kill Pete quickly, just forget about it till you get to higher OP’s and then can use higher level gear on L80 Pete for crystals…
Slagga is a quick farm if you have it open, it’s a bit through the main story otherwise…
The main stuff for Anarchy Gaige involves some specific Fibbers so it’s some real farming or real luck to get what you want there, it’s not easy even if you have it open…Lady Fist is much more forgiving as pretty much any one will do, you just need that quest open which is a bit into the main story…
You can get good launchers relatively easily from the Snowman chest (Topneaa’s and the like), plus you might get something else interesting along the way…The Badaboom is a relatively easy farm too, but you need Eridium Blight open (sorry to be a broken record on that point).