You could do alliance quest map 1 and just run through it on your own, that would provide a fair amount of glory for your t1a needs. I'd also suggest taking a look at the current side quest this month as I beleive there were some t1a shard available on the heroic difficulty (apologies if I'm wrong). But in my opinion the best/quickest way to get then is the t1a arena unfortunately. What is your current story progression, as theres quite a few t1a knocking about in the act rewards.
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Used 2 to rank 5 one 4-Star.
Completed all milestone of T1A arena.
Now 5.
40 to go.
Couple more days and I can rank 2 3 5-Stars (Colossus, Hulkbuster and Massacre).
Now the problem is Gold.