The screamer was put in to replace what the spider did and is part of the dynamic(s) of the game.

They aren't OP; it's just that you need to kill them before things escalate--they should be a priority target.

You can still build a base just ensure it has a tunnel. Give yourself some room to move 50 blocks east/west/north/south.

make avenues of approach to your base.

try building doors out on your perimeter--just the doors-- to attract the ones you can.

Your play-style is your choice; however, I would recommend it be flexible and feasible so you can adapt to different situations.