First - Amur Tiger - welcome to the Forum, and thank you for your ideas.
Some of my thoughts:
a) - the meeting with the Wackett Mission went well, despite the jibe of 'bloody colonials' they had some interesting feedback both from their 'tour' of the Continent, and British Aero companies, and they were confident that something could be finalised shortly. The 'Mission had left with a parting request, for a report on what they found in the US to be sent to them, as well as the Australian Government.
b) - the Hendon Air Display in June, was thought to be an ideal time to meet the Aero airframe engine manufactures all together. At this meeting the Air Staff were able to impress on the 'heads of industry' there the need to expand their premises , and to expand their workforce, as future orders were going to be ten times plus what previous ones were. Even where a company's design doesn't win - the order could be that other manufactures will be co-opted, being that in mind the RAF will expect full co-operation - in that ideas to make work better are expected from everyone!!
With that 'carrot' firmly dangled, the 'stick' came out which initially caused uproar to the effect the RAF if the circumstances demanded would consider buying foreign - be it airframe or power-plants!!
c) - two Bomber spec's were issued in '36 - the first resulted in the order to Boulton-Paul P.90 - later to be named 'Barnsley', fortunately the company resisted requests to turn it into a bomber/transport. There was a design from Shorts but it was felt that it might interfere with Sunderland production - especially after the twin-engine flying boat spec R.1/36 was rescinded, Shorts were also asked to press ahead with a military version of the 'G' Class flying boat. With the second of the bomber specs issued - that as well as the large Avro Handley Page designs, to also order the smaller Bristol - to be named 'Buckfast' - to supplement the Wellington and replace the smaller twin-engine bombers Blenheim, Hampden, and Whitley.
d) - the 4 x 20mm Cannon Fighter spec - prototypes were ordered from Boulton-Paul (Dante) Westland, with the earlier Gloster twin-engine design with 2 x 20 mm + MGs. - 'Guardian'. The initial Dante flight was disappointing - because of the low powered Hercules - however the FAA seeing the opportunity, ordered a navalised version from Blackburn. The next version - had an improved performance, (here I'm being 'creative' reasoning that Bristol are worried about the RAF ordered a US engine for the Buckfast Beaufighter (instead of Hercules).
e) - rather than just one company, Vickers were also involved with adapted the HS-cannon for British manufacture and use, and with the earlier appearance of the Dante (compared with OTL cannon Spitfire) the jamming problems were solved earlier.
f) - the Austin plant was used to produce Hurricanes, after a short period of making Battles, though this needn't have a great impact on Hurricane numbers as the Gloster plant was busy with the single engine Grendell Guardian 'twin' - while their own plant also had the Henley.
g) - the Army Co-operation Command had squadrons slated for deployment to France of:- Grendalls, Hurricanes, Battles, Lysanders, Guardians, and Henleys.