A/T P tires in front, Highway LT's in back, any problem?

My 2002 excursion had an OK set of All terrain tires i was hoping to get another year out of. The fronts were new, rears were in good shape but then i had a blowout.

I want to migrate to Michelin LTX but i can only afford two this month.

Maybe get the other two in the Fall after camping season.

Is there any problem with this other than my truck not looking cool?