With fully supercharged Kestrel (like the Mk 14, 15 or 16; 745 HP at 14500 ft), we'd probably see 280-290 mph. Talk similar to the last fixed-U/C fighters - Ki 27, A5M, or the unrefined 'new' fighters like the Fiat G.50.
Rate of climb is tricky to asume, until we know more or less exact weight of the A/C, and whether it uses fixed pitch prop or constant speed prop. Even the 2-pitch prop is much better than fixed-pitch prop.
As for the service entry, it depends on how much the FAA wants it. The Miles Kestrel in OTL 1st flew in May 1937. So late 1939 is not out of question, the later Miles Master managed it.