Nukebug:
Greetings from El Paso, just a few hundred miles West of you.
While the idea of replacing the fuel pump is certainly a worhtwhile consideration, you may want to look into replacing the turn signal module, especially in light off the symptoms you mentioned with your turn signals.
I had similar problems with why 2015 M3W, and after great advise from this forum, replaced my TCM (turn coordinator module) with an upgraded one from England.
It was not a very complicated job, other than for the somewhat difficult location of the TCM. My 3W has been running well since the new TCM was installed.
I do have the complete Walbro fuel pump modification, which I plan to install at the next major service (new tires, oil change, and installation of a Stage I exhaust system).
A search on this forum for the turn signal module, which, by the way, does much more electronically than just operate the turn signals, will give you the needed information for the modification to the more robust TCM.
Feel free to PM me if you would like to get in touch via email or phone.