I am guessing that bamboo would make a poor spear shaft. It is probably great when combined with a ferrule for shaft to which a pointy bit of metal is attached, but I cant think of a good way to use it with a socketed head, which pretty much forces you into tang territory. Tanged spears need a a really impressive ferrule to handle side loads well. With bamboo's tendency to split cross grain, I suspect that a tanged spear under side loads would split out the shaft very quickly.
A laminated bamboo shaft in a socketed spear would probably do great, but unless long sections of laminated bamboo are readily available, making such a shaft would be a real pain.
If you don't care that it looks traditional, and can weld, I would use round tube for the socket welded to a stock removal blade. In fact, in all cases where I didn't care about traditional construction, I would use tube for the socket. Even if I were to forge the blade and a tapered socket. Forge welding sockets is a real pain and requires a specialized thin, low angled bicern or similar mandrel. I hate doing it on chisels (which are far more forgiving and you can use your anvil's bic.
My preferred method for socket construction is to forge a taper in round tube and then forge weld the smaller end to the blade (be it a chisel or spear or whatever) either by the formation of a rounded tang inset into the narrow end of the tube, or cutting a slit in the narrow end of the tube and flattening both sides to weld to the faces of the blade.
If you want to do this entirely with stock removal, skip the tapering of the tube, slit one end and cold forge (flatten it) it around the bar that will become your spear blade. Grind the sides of these 'ears' to a blunt point. Preheat your blade, fit it up, and run a generous bead. Peen the weld afterwords. Perform a subcritical anneal on the entire piece and only HT the blade. Try to avoid quenching the socket/blade weld.
I think I would want to use a 4140ish alloy for something like this as it welds to mild steel well and I haven't had major issues in the past with HT (I have made a set of hardened lathe tool rests with mild steel shafts from 4140 - I HTed them post weld using a water quench and had no problems). This is supposition, but I am guessing that between the low carbon content and the chrome, 4140 is less prone to the high stresses of differential hardening that you get when welding something like 1095 to mild steel.