You might also look at what's called "premium coach." These are larger seats than coach but not as large as business class. You typically get coach service as to food, etc. You might get to check a second bag for free. The seats are comparable in size to domestic (USA) first class. You won't get lots of free wine and booze, faux gourmet meals, or sleeper seats, but you won't arrive feeling like you just got out of a sardine can.

I'm not trying at all to be discouraging. I just got back from my delayed honeymoon in Europe, flying business class. Fortunately I had enough points saved. Most people would say that the best single use of points is for international business class tickets.

Let me throw out a funky idea - it being your wedding and all - I'm not sure why you don't want to open more credit cards, but you could ask relatives to do so, then transfer you their points. Chase points are transferrable (but require $3000 spend to get the signup bonus). Or they could open a United card. If each of you had one parent to open a United card, that's 50K points each which is good for a one-way biz award, then you use your 100K points for the other two one-way awards needed. Again, most people around here will tell you that the best strategy by far for getting free travel is to maximize your signup bonuses on credit cards. This is not a typical year for me, but my wife and I will earn something like 800,000 bonus points this year for signup bonuses and the like. And BTW, the United card comes with a $100 statement credit for first use, so the people who might do this as a "present" to you are also getting $100 cash in their own pocket.