First of all, where did you learn that TVs are bad for acoustics? I think you might be over-reacting to what may be a small problem that most of us live with without noticing it, including myself.
Matt's advice is generally correct, especially when he said there are no hard and fast rules…
Diffraction occurs at different frequencies and depending on the frequency range can have a wide range of effects. Let me describe two common examples.
The biggest diffraction effect occurs at the upper bass/lower mid range, mostly in speakers with narrow cabinets. In the USA this is often called the "baffle step response". Sound waves that are longer than the speaker cabinet's width, the baffle width, will bend around the sides of the cabinet, propagating in all directions, 360° or 4π (four pi). Sound waves shorter than the baffle width reflect off the baffle, propagating 180° or 2π. As you might expect, the sounds that reflect off the baffle will be about twice as loud as the lower sounds that travel in all directions. In most bookshelf and narrow tower speakers, the frequencies of roughly 500 to 1000 Hz are involved. Uncorrected baffle step response results in weak sounding bass. Sometimes, depending on the music, it can make human voices, trumpets, or something in the same range, sound "shouty" or "nasal". Many people have speakers that do this and never notice it as a problem.
This diffraction effect is most often corrected by the speaker designer by including baffle step compensation (BFC) equalization in the speaker's crossover. Dennis Murphy is well aware of this, and builds BFC into all his speakers. When you use one of those BMR speakers sideways as a center channel speaker, the baffle width increases from about 8-9" to about 20". Dennis corrects for that in your BMR dedicated to center channel use. As far as your TV screen goes, I wouldn't worry at all about how it might affect yours speakers in the BFC frequency range.
Another kind of acoustic diffraction occurs at the edges of speaker cabinets. You may have noticed speaker cabinets with rounded edges, or with tweeters set slightly off-center. These are done to minimize diffraction effects that occur at higher frequencies in the range of 4 kHz or higher.
Dennis Murphy has measured the frequency responses of small 2-way speakers identical except for the cabinet edges. One cabinet had edges not rounded over, and the other had edges rounded over to a ¾" radius. The resulting differences are minor but measurable. Dennis admits he isn't sure if this effect is easily heard by listeners. See the link for the frequency response graphs.
I would guess that the edges of your TV screen might have a similar
minor effect on the sound of your front left & right speakers. The solution, as Matt already suggested, is as easy as moving your BMRs a bit further away from and slightly forward of the TV screen.
In other words, don't obsess over diffraction