Tough question. We just returned last night after doing both Binions and Flame. We had excellent meals t both of them.
Binions is a bit more expensive, but the view and service are great. We had been over-buffeting, so when we got to Binions my wife asked if we could share their 16 oz prime rib. Before I could even get embarrassed the waiter said it wouldn't be a problem and if we wanted 2 potatoes and veggies it would be a $10 charge; otherwise there would be no charge. My wife hates green beans, so we just took the extra plate. The 16oz prime rib was huge (20-24oz), and we couldn't finish it all; the potato was huge and more than enough split; and I got the green beans. We also shared a huge spinache salad (served in two bowls). With the 25% off MRB coupon our bill came to $43.
The Flame has been remodeled. The service was good. The meals were excellent, and the $31 bill after the $30 MRB coupon was ridiculous for the meals we enjoyed.
I'm glad we had time to do both.
Bob