Or the Sabre
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The Original Battle was about 25-30mph slower than a Blenheim MK I at most altitudes, climbed slower and had a lower ceiling. Blenheim had a better defensive gun set up from the start (powered mount/turret for rear defence). If the Blenheim can't do the job you are going to need a rather extensively modified Battle. A 10% increase in performance just about gets you up to the performance of the Blenheim. You are going to need 1050-1200hp at sea level and no increase in drag just to match the Blenheim (and hope the Blenheim pilot can't use the 9lb boost limit some of them had.)
What job is the Blenheim being asked to do? For a naval strike bomber we need accurate low level dive bombing and/or glide bombing. The Battle can do that as is. If we need more speed and power, we partially get that from a Merlin III and 12lb boost and fully get it with a Merlin X/XX.