You need to be hitting targets with a lot more health than familiars (spectral wolf) quickly, with a weapon that has high base damage (1H xp is calculated using the base damage of your weapon. The faster you can swing, the faster you will level). Since you are using conjuration for this, I suggest you step it up some.
First, you may need to level you conjuration to have access to more powerful summons (I'm thinking Frost Atronach). If you don't have it already, buy the novice level bound sword spell at any court mage and Activate the Mage Stone. Go in the lake nearby and swim to the island in the middle (Lady stone). You should be able to get some slaughterfish to follow. When you get there, equip a mage robe and hood (the loot from Helgen is OK if you have it, or get some better ones from Vigilant Tyranus by starting House of Horrors in Markarth. The Necromancer amulet can also be quite helpful in this endeavor, and is easily obtained even early in the game by completing Blood on the Ice in Windhelm).
If you have a spare perk point, get novice conjuration. Equip bound sword to both hands and cast in each at the same time, with slight delay between. Rinse and repeat until Conjuration is at 40. Hopefully you level up and get another
perk point. I don't know what your best 1H weapon is as far as DPS (high level dagger is best, followed by high level sword). If you get mystic binding, your bound sword gets upgraded to daedric damage and is pretty good for this.
Buy the Frost Atronach tome (Phinis Gestor at the College of Winterhold is one option, though I believe Calcelmo at Understone Keep in Markarth specializes in conjuration too and can sell you this adept level spell). Go some place secluded (The abandoned House in Markarth works well, and incidentally has more safe storage than any house you can buy in vanilla Skyrim) and summon a frost atronach. Then summon a mystic bound sword (or 2) and start swinging. No power attacks, though. The bonus damage won't give you more xp and will just kill your target faster, meaning you have to stop and summon another more often. If you use 2 swords, just tap attack with both at the same time (don't hold down). This is slightly slower than just swinging one, but will still nearly doubles your xp gain. I forgot, you probably want the warrior stone and to sleep in a bed for greater xp gain (you can at least get the rested bonus from the bed in the abandoned house, or get well rested sleeping at the inn across the way). 25% or 30% bonus for 8 in game hours ie 24 real minutes by default. Stop and rest as needed to heal (atronach will turn on you after 4 hits), regenerate magic or just take a breather when you feel like it. Saving periodically isn't a bad idea, either. Same goes for the conjuration leveling beforehand.
The Conjuration leveling part mentioned earlier should happen pretty fast, as that spell give over 5 times the xp as its base magicka cost and you are casting twice each time. Decent skill multipler too compared to say destro or resto. The 1H skill may take a bit to grind from the low 70's to 100. I will say though, that once you reach 80 skill and can get armsman 5/5, you are already doing over 90 percent of the damage you will be doing once you hit 100. You get 0.5% bonus damage per skill level, so 140% by 80. With 2x damage from 5/5 armsman, you are doing 2.8x damage out of a total 3x. You could just let the skill finish leveling up naturally after that by using it in normal combat.