This comes down to opinion, as much as anything else.
I personally do not like to mix brands on a car.  I will NOT mix brands or
sizes on
an axle.

Do what you wish.

Put your best tires in the back.  Best for grip on snow and ice.  And
you wont have problems of the rear end sliding sideways if you make
sharp turns.  Once i put best tires in front and several times almost
spun out when rear end got away from me.

   I would NOT buy/install them without comparing measurements--altho' not
as bad as the old HR70's & -60's, tires from one mfg., same sizes, often do
not match another mfg's.  Those olders often could be over an inch
difference in height.  Even PepBoy's own 'best' popular sizes for like
LeSabres, Parks, B'bille, Lucerne, etc, can be noticeably narrower than say
same sized Michelins. Good luck.  BTW: If you are sold on the Mich. quality
being superior, how about getting 4, and advertise/sell the Dunlops even at
a bargain?  Problem solved and no guesswork.  s

the "company line" is all 4 tires should be the same brand and same size.

in reality, you can mix and match, but it's only a good idea if you're
considering $ as the only factor.  Brand X tires grip differently than
Brand Y, so in situations like ice, snow, rain, max-g cornering, you
might get dealt a nasty surprise when one end loses it's grip on you.

Unless you have a need to mix and match, I suggest keeping all 4 the
same just because it reduces the chances of surprises.
(that said, the Beretta has two BFG's on the front and two Canadian Tire
specials on the back...)

It's a  good all-season compromise tire for small family  sedans and
economy cars at an attractive price, in my experience at driving two
cars' worth of 'em for the past few years in varied conditions (dry
roads, rain, and light snow).   If I had to deal with serious snow and
ice, I'd get four junkyard rims and put real snow tires on 'em,
seasonally, no matter what my three-season tire was.

I drive as though the car, the tires, and my safe-driver insurance
discount all need to last me a long time.   People who like to push it
hard may have more-exacting requirements.

Never driven the HydroEdge and have only small experience with
Michelins in general.

I try not to mix tires, though I've certainly done so to save money on
beaters driven conservatively under benign circumstances that only
needed two tires.  Certainly wouldn't mix 'em on an axle.

BTW, the wisdom these days is that if you are only buying two new
tires, whatever the brand, they should go on the rear, a 180-degree
reversal from the thinking of days of old.

--Joe