I may be mistaken, but from the location of the p-trap it looks like the old tub had a waste and overflow with outlet under the drain, rather than under the overflow? If the framing doesn't prohibit the latter kind of waste and overflow, you should be able to get your p-trap close to the valve wall so your vent can rise into the valve wall. [The vent should stay vertical (meaning not more than 45 degree off plumb) until 6" above the flood rim of the tub, which the old arrangement did not do.]
Since your bath drain is so high (up against the bottom of the sheathing), you'd need to use an upright wye for the vent takeoff. If you put it immediately after the p-trap elbow, it may allow you to get the vent into the valve wall at 45 degrees off plumb without hitting the tub. The u-bend can point mostly away from the drain line to get the wye as close as possible to the wall.
Or, if the drain runs to the (short) back wall of the tub alcove, you coul move your vent takeoff there. Tubs often have a void space under them there because the back of the tub is sloped.
Cheers, Wayne
P.S. There may be a height issue with the bath drain up against the bottom of the sheathing--it may not be possible to get a p-trap under the waste and overflow with the trap outlet high enough to meet that existing bath drain. In which case your only option that doesn't involve opening things up to see if you can lower the bath drain is to get an above floor roughin tub.