Hi Johan,
Normally I would always recommend the ReadyNAS hands down - I've run them for years and had nothing but wonderful experience - never lost any data on a ReadyNAS, even when I had those infamous 1.5TB drives going bad on me. You have run into something I never tried on the ReadyNAS - the 2TB limit on Time Machine. I use a real TimeCapsule to back up my Macs - not the ReadyNAS.
However, I would definitely recommend a QNAP as the next best option. QNAP's devices are incredibly well made, very reliable, and FAST! Personally I don't think the lack of ability to gradually increase size one drive at a time is a big enough downside to walk away from all the benefits of QNAP, but your mileage may vary.
About the Drobo Pro - I can't explain why, but I patiently keep trying and trying to get some good reliability and performance out of it. I have lost my data on it 3 times now, and I keep coming back and trying again every time they come out with a new firmware. In principle I believe BeyondRAID to be a very promising technology (RAID is over 20 years old now, so something new is good), but I have to say the implementations so far are VERY lacking. To summarize, I just simply can't trust my DroboPro.
So my recommendation would be:
1. ReadyNAS Pro
2. QNAP 639Pro if you just can't use ReadyNAS
3. Don't take the chance on the DroboPro - not yet anyway