I'm a little surprised based on the photo, but I guess you hit the bottom of the joist more than would be reasonable to notch it? (E.g. a diagonal partial notch (edit: I mean bevel) 1" in width by 1" in height would be fine.)
You can try the wye, but you'd need a 60 degree bend to go from the branch on a wye rolled 45 degrees to vertical. Which of course means that the wye branch isn't actually "vertical", but I guess that's commonly overlooked when the pipe segment between the wye and the 60 is very short. Which would also mean that you could roll your san-tee 60 degrees and just use a 60 degree bend, and that shouldn't be any worse. Although somehow it would seem worse.
One more option you have: if I recall, after this vent the 3" line is hitting a 90 to turn downward. If that's correct, you could do the following, starting at that 90 and going upstream: turn the 90 22.5 degrees towards the wall, then hit a horizontal 22.5 degree bend (possibly street). Then your san-tee vent take off, which is now closer to the wall, so rolling it 45 degrees should let you get under the wall. Then upstream of that you hit a pair of 22.5 degree bends to jog back to the original course of the 3" line. Or if upstream is just a closet bend and a closet flange, you just use one 22.5 and rotate your closet bend 22.5.
Cheers, Wayne