35hz capable tower speakers vs. 40hz capable subwoofer

[Beaner666]

I know the common feeling on this board is that running a full 5.1 system with a powered subwoofer is better than running a 5.0 system with full range tower speaker’s but here’s my predicament:

My current system (listed below in my signature) isn’t the best and my subwoofer (Polk PSW10) is only rated down to 40 Hz and I have had problems with it bottoming out. I have some old JBL tower speakers (TLX171) that I dug out of storage and they are rated down to 35 Hz.

I realize the JBL towers aren’t technically full range, but since they can handle deeper bass than the Polk sub would I be better off integrating the tower speakers into my system and running them at full range?