I don't use Bandersnatch with her. By turn 3 you have 3 webs on the board and can go anywhere you like.
She is usually what I call 'a bully scheme runner', as in she can scheme crazy good with her webs....yet will not die (and will kill) most any other scheme runner. Her webs are difficult to over value, you really need to proxy and put her on the board a few times to get an understanding how strong they are with schemes.
She also has a really great summon (It's easier for her to summon Stitched than Dreamer!). You can turn your own Wicked Dolls into Stitched or if you're really lucky, they brought constructs for scheme running or near her to bring late game stitched in. Or you picked up a Stuffing Token earlier in the game. She's just good.
As far as surviving, yeah against a gunline she'll struggle (But I don't bring Dreamer against guns). Against anything else though, between Terrifying 12, stones and the fact you can port away using your webs...she's fine. Terrifying 12 is pretty strong in M3 with the change to Terrifying now (test per action). If you really are nervous though, you can always put Inhuman on her so they'll only get one punch...which you can stone to neg damage flip....stone to heal....then move away.
I took Dreamer/Titania to MuseCon and got 2nd overall (3-0 for the day). Two of the three games I played were with Dreamer and each time, Widow Weaver did a ton of heavy lifting for the crew. She's legit (She might even be a legit Master).