Depends on where your issues are. The capabilities of each are complementary but not completely overlapping.
DSP can’t eliminate early reflections nor can it shorten room reverberation time or widen your listening sweet spot. Room treatment can.
Usually room treatment alone can’t fully fix the bass.
They both alter tonal balance, room treatment by absorbing excess energy, usually in the mid-treble area, but bass traps can shorten the ringing of modes, letting DSP work more effectively.
Your DSP budget is going to vary based on how much auto features you want, but if you spent $1,000 on room treatment and $200-$500 on DSP youd have a killer set up.
I suggest you start with the room treatment and then decide if DSP is needed.
