Here are a few players' guides:

1. by the time you're mapping you should have collected enough to start selectively vaaling maps. If we're talking about day 1 atziri farming, you'll be mapping enough to reach a decent level ~75-80 and you shouldve collected a few sets with whatever vaal Path of Exile Orbs you have. Then you use your early atziri kill sales to fund your additional runs. It's inefficient to be completely self sufficient with sets. You'll want to either buy sets once you start running atziri or buy vaal poe orbs if you'll be mapping in between runs.

 

2. For 1 vaal you can buy 2 dusk fragments which give you a 75% chance to find another fragment. So for 1 vaal poe orb you have 1,5 random fragment. I doubt if you can get that on average using vaal on map. And running map is longer than running fragment. And you also need to invest in alts/alchs.

 

3. Put frags in map device to create Vaal areas and run over and over until you get Midnights - incredibly easy to make currency early league doing this - selling the Midnights for basically whatever you can as quite a lot of people want to be first to Atziri - early league they sell for what..10c? Buy other frags as they worth nothing if you are going to run Atziri. To gather the frags to begin this; make sure you run every Vaal area in C/M when leveling. Im talking having like 4-5 Midnights by lvl 68-70 in Dried Lake - you can also level at these Vaal areas a little.You can also get lucky and get Vaal gems worth something..and unlucky and get some bad Vaal gems.

 

4. Ahh should have stated you are talking about day 1 farming then, but still trading is the best way to amass sac frags day 1 anyway, since people tend to run the occassional vaal areas they find, if you don't have a mid make unmatched 3s (dawn dusk noon) and always run the frags that don't make it into these first. Set up a public pt, make sure your tp is blocked from intruders and buy frags while you run them, you can level in them and farm some currency too meanwhile.

 

Outside trading your best bet is farming docks if the timing method still works on area entry. Vaaling maps would net more frags and you could get the her mask too, but I doubt you can get your hands on the 3 boss maps on day 1, HoGM is out of the question too, über lab is 90% sure slower and way more unreliable, not to mention you'd need the trials, vaults of atziri with atlas is probably not day 1 either, I don't think there is a proper way to farm frags outside of these methods tbh.