Any idea what kind of bug this is?
Florida boy here. Clean around the house- mulch, bushes, tree limbs touching roof, etc. Bayer brand pest, $27 a gallon, go nuts with it, especially outside. Inside, boric ,sprayed in all holes(involves taking your switch and receptacle plates off. It will take 2 years, as they slowly go away, meanwhile, clean your yard- leaves under bushes, at fence, etc.
Palmetto bugs are hell, the little germans in the kitchen come from the grocery store. I like to grab the big ones by the antennae, and flush them. I doubt they are coming out the drainsm as that would mean a drain did;nt have a p trap, and sewer gas would be po'ing you off; the critters just looking for a drink.
Those big boys- Bayer and boric, and a foot. Fought them for 20 years until I figured this out. I have lived in rentals, under live oaks, where I was laying in bed, and they would fly by, and head me in the mouth; I quess it was a good night kiss, lol.