What outer tie rods to use C20 to C10 spindles?

[SoCoC10]

Got a pair of used 84 1500 Suburban lower control arms, pressed in new lower ball joints, removed the c20 upper ball joints, bolted in new upper ball joints, bought 2 1/2 drop spindles and 2" lowering springs and new KYB shocks.

My question is the 84 outer tie rods I got have the correct taper, but the shaft diameter is larger than the adjustment sleeve. Do I have to change the inner tie rods and adjusting sleeves? Is there a recommended outer tie rod with the smaller shaft and correct taper for the spindle? Thanks guys/gals