to expand on a few things.
For a true high speed bomber we need to have a concept of what constitutes a minimum bomber range and bomb load. You can sling 1,000, 1,500 or even 2,000lb of bombs under a Kittyhawk but you are not going to carry that across from the UK to Germany and back
Heck, you are not going to get a Kittihawk from Norwich to Amsterdam with 1000lbs of bombs and get back. Operational radius is much shorter than "book" ranges because formation flights require more throttle jockeying to maintain formation. Also endurance/range is dependent on the endurance of the first plane in the formations take-off time, how long it circles while later planes take-off and form up.
If we look at OTL 1,000lb was a medium bomber bombload early in the war and 350mph more of an aspiration than reality. The original Mosquito was barely more than 20mph faster than a period Spitfire.
Yes, this shows the problem.
Let's take the Spitfire and turn it into a high speed bomber, ala the Henley.
Slightly enlarge the tail (a small bit of drag)
lengthen the fuselage by about 4 ft to hold the rear seater (a little more drag)
Build stub wing to mount the existing wings to. Need more wing area for take-off but more drag
Build bomb bay of just two 250lbs or for two 500lbs bombs? 250lb bomb is 10.3in in diameter and the 500lb is 13in in diameter. Or a single 500lbs bomb with two 250lbs option? Henley did not have the single 500lb option. You do need clearance for for the racks and for the armorers to work so bomb bay is going to add more than 10.3 to 13 in the the height of the fuselage. More drag.
You can take 6 guns out of the wings (or 7?) to save weight and a bit of drag (all those slots in the bottom of the wing) but you may want to use the inner gun bay/s for fuel tanks.
You can cheat and use the Merlin X engine instead of the Merlin II in the Henley but the main difference between the II and III was the propeller shaft to suit different propellers.
We can also use hindsight and figure that a tactical bomber needs good speed at 1500-5000ft and not 15-17,000ft and using low gear in the Merlin X (or just use a Merlin VIII engine) will give us better performance at low altitude.
Having an engine that gives over 1000hp at sea level instead of 880hp may mean we can use a smaller wing and still get out of the airfield.
But let's recap, Henley lost over 20mph (maybe as much as 30mph) compared to a Hurricane I.
Actual range is certainly up for dispute. Henley got about double the range of a Hurricane I using the same amount of fuel?
A single engine bomber is certainly cheaper than a twin. It may not be a good purchase, unless the goal is fill up squadrons with numbers.