OK, breathe deeply, close your eyes- now tell yourself,"It *can* go 5K, it *Can* go 5K, it *CAN* go *5K*!"
Personally, I was relieved years ago to learn I could stop all the 3K nonsense- changing any more often than once a month is a PITA, I thought. Every 2 or 3 months was much more reasonable. (At the time I was driving 750 to 1000 miles a week- changing oil every 3 to 4 weeks got old fast!) I was nervous about it though, just like you are now. So I worked into it slowly, but kept on going. Heck, I even ran BobZoil once for over 15,000 miles!
So, my advice is to shoot for that one month/5,000 mile mark, & *then* change your oil. If you can't stand 5K all at once, go for 4K the first time. Try that, & then slowly extend it by 1000 miles at a time if you like. Sure seems a shame to drain that nice synthetic oil with only 3K on it! My plan, after doing a double A-Rx dose, is to cut back to conventional bargain priced oil & change every 5K or so. If I can run Havoline or Formula Shell for 5K, surely you can run that lovely synthetic for 5K or 6K!
EDIT: OK, you're committed to try 10K? Much better, at 5000 miles/month it should be very easy on the oil. Now tell yourself,"It *can* go 10K,..."