Hi, there!
Great question!
I myself actually prefer more action as well. I usually roll multiple times during combat scenes too, I like it to be more intense and dramatic.
What I do is I play with the complications. You see, "knocked down, disarmed, blinded, broken" are quite harsh setbacks that would make more sense if it were for a single roll resolution. You may want to try to "dilute" the severity of the complications when you roll more often.
Think of it as a movie scene. Consequences don't need to take your character out of the scene. I hit them, but... they punch me back. And I just get back and hit again. I hit them, but... they grab me and throw me. I drop something. The sun is now against their back. A crack on the floor widens. They reveal a secret weapon. A minion appears. Our swords clash and we stare at each other, exchanging insults. Think Thorin vs Azog kind of deal.
Don't be afraid to get creative (and permissive) with complications. That way, you can have a long and colorful battle scene without punishing your character too much.