..... and will start traveling again; however, I book through my company's travel site and have to take the most appropriate flight/hotel....
Sounds like those 2 upcoming trips are work related.. if you book thru your company travel site, I am not sure what the question is..
However if those are personal trips.. flying out of DFW, there is a current AmEX business Gold offer for 75k Bonus MR points .. you can transfer that to BA avios with the current 35% transfer bonus, you should net 108k Avios. This is enough for 7 award (coach) round-trip tickets DFW - ORD or DFW - BWI/IAD/DCA on American Airlines.
You may also want to get any of the three 50k bonus citi AA cards. 50K AA is enough miles for 2 award (coach) round-trip tickets DFW - ORD or DFW - BWI/IAD/DCA on American Airlines.