I would:

(1) always try to book rooms at spaking new hotels
(slightly less chance of bedbugs in newer sheets/mattress)

(2) bring my own sheets and a steam iron as mentioned
above.

(3) bring my own air mattress...(a bit extreme)

(4) travel everywhere only in my RV.

Personally, I don't worry so much and try to ignore it if
possible... just think about all the other disgusting things
you can frequently encounter in a hotel(even nice ones)
One example: hotel guests who urinate while swimming
in hotel pools Yes, I've seen this before, which is why I
never even dip my feet in hotel pools.