Frumious
(Frumious)
13
OK.
I see the challenge: Small physical format limiting you to a single cell, but wanting long performance at somewhat high output.
For your thrower: Look at the specs for the NIGHTWATCH NS22 SEEKER with either SST20 or SST40 emitters and with the optional 21700 battery handle. It is a relatively narrow-headed thrower. Affordable: Around $30 plus battery. (I use a high drain 4000mAh Sofirn.) Beautifully made. If you are willing to have a wider head, take look at the Acebeam T27: Tail and side clickers. 21700/5100mAh Acebeam battery, Ultra-long throw. Over 300Kcd. Pricier. This is my go-to thrower. Something similar (though much less expensive and with side-clicker only) is the Astrolux FT03 - powered by a 26650.
For your flood: I know less about what’s available in flooders. Those few I have are side clickers - except my BLF A6 (an EDC). My choice for a long-running one-cell flooder is the fabled side-ramping Emisar D4S - ramped waaaay down. With its 26650 battery (Orbtronic 5750mAh High Drain) it will crank out 800 lumens for a lonnnng time.
Hope this is useful information for you.