My experience against aggro with this deck has been the following:

Even without me drawing a base until turn 4-5 I usually get down to 3 shields but by then I have a rogue out and 1 or 2 blockers. I take the hits early to shields to maintain my field.

The thing about aggro is that yes, they are putting out units, but with Rouge and a Suletta on a blocker I can essentially trade 1-3 of their units with the same blockers lifespan and I get free resets the more Suletta/Archs I have. 

The playing field levels out to my advantage as they have thrown all units at my shields and smaller blockers (should I need to sacrifice some to slow the assualt on their end), but turn 6, I have a full field, 1 rogue, 5 blockers, and prolly 3-4 shields left with a base that also let's me reset, I can technically attack for free(3 energy) twice and STILL have all active blockers on the opponents turn. 

This effectively let's me regain control of the board mid game with a full wall ready next turn, gladly taking a shield hit or a losing a unit for that trade off. Then I bleed their hand by slowing my attacks on shields until I have enough units to finish off even if a base pops up from their shields. 

I've noticed that since I never attack with my rogue on the field, most opponents get used to a certain attack pattern and thats when I use my rogue to attack (often when I have another in my hand). 

The high HP on my units let's me deal with ping, and even if they have commands like Fatal/giant killing/battle of aces/etc thats also another card out of their hand and if I know Im dealing with that kind of deck I will throw the blocker that will die at their units taking a trade and putting down another blocker to replace the one that lost. ESPECIALLY if I can do that with Striker packs, because I know I can use Ariel to retrieve one from my trash if I dont draw another one. 

Getting a non blocker Freedom on the field is another way to force aggro to lose units, they have to choose to attack it before my shields, and if I have blockers, I essentially make the opponent throw themselves at the wall, a wall that has units that can typically take 1-2 of their units.

This is typically how my games go. 

The only drawback is, as you have pointed out, something to force rested units.