Pair a resistant shield with a resistant article of armor, and dragon fights are much easier. Since magic is not limited to just your left hand, having a resistance shield in that one and a fireball in your right can be an powerful boon. You may, in your travels, find shields that grant you elemental resistances. The latter is more reliable, but takes far more time to execute in a pinch. The former is quicker, but is of course limited by your stock. Take a breath in the selection screen and choose whether to heal with potions or a Restoration spell. Turning tail to gain some distance is not cowardly.
Use Dragon Shouts liberally, but not wastefully.
Since straddling the barrier between physical and magical combat makes you a master of neither, you need both to be effective in combat. The first thing when adventuring with a build like this is to always have a spell in your hand. Just because you gave your Imperial two-handed tank has the exact same perks in the exact same sequence, and just because you did every quest in exactly the same order, does not mean that the new tank build is the same as the old. There are probably thousands of character builds in Skyrim, and no matter how closely you try to recreate one, your current will always be somewhat unique.