Flying twice per week and saying in 5 hotels per week (with two different visits) will net you a TON of hotel and airline points. Why on earth would you want a credit card that gave you more?
Get yourself the best cash back card you can find. You're likely spending $100k per year on travel by the sounds of it. Some credit card programs will pay you 3% for the top spending categories. This would include things like hotels, airfare and meals.
Why not end the year with SPG Diamond status with enough miles for a stay at a very nice property, a ton of CO miles to use on a SkyTeam flight somewhere nice and $3k in spending money?