I honestly don't understand why you guys even started a discussion about Randuins vs Sunfire cape.
It's common sense that you should always go for Randuins instead of Sunfire when playing Udyr.
I can't think of a single case when Sunfire cape would be better than Randuins for him in jungle.
What I asked for was the whole build.
First back: I get spirit stone and Madred razors. (Unlimited sustain in jungle without blue)
Second back: Completed feral flare(yes, with 30 stacks), boots of swiftness and start Zephyr.
Third back: Finish Zephyr, start trinity.
Fourth back: It gets tricky at third/fourth back. At this point of the game, team fights might start. I have shitons of FF stacks, tons of offensive items, but I often lack armor/health when fighting unless it's 1v1. I don't understand how trick2g performs so well with those items. I, of course, go for Randuins omen now, but should I buy it after or before Trinity force?
Fifth back: Spirit visage?