I haven't liked BSC for a long time now, though I don't get much of a chance to play Vintage nowadays, so what do I know. The thing is, he's vulnerable to Dack Fayden, JTMS, and now Oko, three big planeswalkers that other blue decks could reasonably be playing. Not to mention STP.
I've always had good success eschewing Tinker entirely; my playstyle tends more towards hard control. Conversely, I can remember several times my opponent had Vault or Key in play, which I was able to ignore entirely because it did absolutely nothing on its own. But maybe this is just me.
Anyways, a suggestion you could try.
Everything that facilitates the things I don't like, and inhibits the things I do, is unfun, broken and format-warping.
Conversely, everything which facilitates the things I do like, and inhibits the things I don't, is fair, fun, interesting, and helps maintain Vintage MtG as a vibrant and strategically deep format.