They have some balsa nose blocks in BT-20 that are like 2" long. Wouldn't be a bad place to start.
I have no experience turning and thing. My limited knowledge and tools means is probably be looking at doing a turn with my drill press and sandpaper. But that'd be just eyeballing the shape.
Turning .281" or even .375" od balsa nosecones on a drill press can be done but you'd be much better off Starting with a Basswood dowel or square 5/16" in diameter or square. That gives you a little breathing room. Basswood is a bit heavier but is also quite a bit stiffer then Balsa with a much tighter and clean straight grain. I recommend using Flat Files and sanding sticks or blocks 120, 240 and 360girts to shape your cones and transitions.
To start I always turn the initial block down to the air frame OD + about .005" to allow for finish sanding, then turn the shoulder at least 5/16" (.3125") long for T2+ that would be .255" ID for a .013" wall tube. T3 (.375") tubes require a little longer shoulder about 3/8" with a diameter of .349" to fit the ID. A dial caliper is an invaluable tool for turning parts. You can pick one up for a very good price at Harbor freight. ( I wouldn't go with the electronic calipers as they go through batteries very fast) as simple dial caliper the reads to .001" is all that's needed.
All that said: Have you looked at the selection of available T2+ and T3 nosecones and transitions available immediately from Fliskits? They are Balsa and are of exceptional quailty.
You might also look a ASP (aerospace specialty products) they still have a listing of available MMX Scale kits that are very will documented and pretty good starters for scale models.
Just to go a bit further in my explaination of how FAR Micro Maxx has advanced since it's introduction in 1999 by Quest. We now have every form of Micro model that is flown in standard Model Rocketry execpt egg-lofting as we have yet to find a suitable micro size item fragile enough to represent an astornaut. We have many different Parachute and Streamer recovery models. We have Flat, X-form and hemispherical chutes for Micros. We have all types of Gliders: Boost Gliders , Rocket Gliders, Flex-wing, Swing Wing Slide Wing and even a RCRG micro Rocket glider. There are a number of Competition worthy Micro Helicopter duration models both kit and scratch built. Several different Maple Seed type break apart Helicopter models, As mentioned earlier We have all kinds of Scale Micro models with incredible detailing. A vast aray of PMC (Micro Plastic Model Conversions) Competition and Sport flying models. Two and Three stage micro models (I have yet to get back any of the 3rd stage sustainers). We have Clustered Micro models Up to 12 motors, most are 2, 3, 4 or 6 motor combinations that almost teleport the model to apogee in an instant
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There have been several Micro Model events held accoss the country and at NARAMS over the past few years. We now have a 1/8A Pee-Wee Payload that is recognized by the NAR as a provisional event for national competition. and each competition event in the NAR sporting code (Pink book) has a 1/8A motor class and current national Record for A, B, C and Team divisions.
We have All manor of Micro Odd-Rocs from Spools to just about any type holiday or occasion theme models you can think of.
Currrently there are 3 different motors available for our models the Old original plastic cased MMX-1 motor 1/8A.2-1 (.163Ns), The Current MMX-11 motor 1/8A.5-1(.284Ns), and our current staging booster/ cluster motor MMX-11-NE that has been factory altered to remove the ejection charge leaving the avarage .854s delay. This "Booster" motor delay does sometime cause a bit of heart stopping between booster burnout and upper stage ignition but so far I'm happy with the results. MMX-11 and MMX-11-NE are competition certified.
We also have electronics including staging timers and tiny altimeters but the Battery required makes airframes smaller then T4 (.448") Very tight.
As far as Launch Equipment goes: We have all the standard everyday single .049 or .050 Launch rod launchers, new MakerBeam micro Rails and Micro Rail buttons, Several type tower launchers, and micro piston launchers from the Cheap-n-Dirty tube & dowel type to standard Metal head and advanced Floating head Micro pistons models. Controllers are either hand held or these launcher can be used with ANY Club 12v controller.
In summation; If it's being done in Model Rocketry with the exception of " Egg-Loft", it's being done today in Micro Model Rocketry.
Hope that helps clear up any doubts you have about this particular facet of the hobby. or where it is going.
Ho and yes that is why I'm called Micromeister LOL!