First of all im not claiming to reinvent the wheel, i do not think Shyvana Support is going to be meta or anything close. I made this build for fun, because i honestly find it fun to play.

Pros:
-Poke
-Strong All-In
-Versatile
-Can Solo Dragon very Early

Cons:
-No Base CC
-Outdated Champion
-Dragon Dependant
-Enage is Flash Dependant

When i first made tried the build i took smite which is helpful early in the game (extra leash for your jungler and/or pushing for lv 2) and also enables doing solo Dragon at 5:00. But, although fun, the rest of the game is mostly useless (not that impactful), also doing that dragon alone is very risky. Overall taking a different summoner is better, using the Spellbook Smite at 6:00 if you want to do solo Dragon.

Playing Shyvana not only makes taking dragon easier, but also necesary, for her passive gives extra resistances for each dragon slayed.
Shyvana (and some other junglers) have the ability to solo the dragon as soon as it spawns, thanks to the jungle item. In order to do the dragon without the jungle item you need to use potions.

To do solo dragon at lv4 you will need an Amplifiying tome, two potions and Smite, either by choosing it on champion select or by taking it from Spellbook at 6:00.

As i said rushing solo Dragon is very risky and is something that is just not going to happen unless you play in Blind or very Low Ranks, otherwise you could as well end up leashing Dragon for the enemy team. Still good coordination with your team may arise good opportunities for your team to seccure the first dragon.

Spotting the enemy jungler at top or realising the died or had to back is a good time for a dragon either solo or even better whith the aid of your jungler. If the enemy botlane recalled (or died) and both you and your partner have plenty of health you can ask them to help or try to solo it.