Don't turn your crank unless you absolutely have to. Going .010 over just so you don't have to worry about fitting bearings is to be avoided.

Based on what I have seen and heard from others, turning the Honda cranks is not a good idea.The surface nitriding or hardening of the surface on the crank journals appears to be the issue. I have heard several cases of failures on Hondas with cut cranks. The journals can be re nitrided but why screw with all that time and cost if the crank was fine to start just to be sure your bearings fit?

If your crank journals are fine, then there is definitely no reason to cut it and go oversized. Don't do anything more than a micro polish and tell your machinist to use a used polishing band and do no more than is needed. I have found that this only removes about 1/10,000 from the journal, maybe 2/10,000, which may or may not require you to go to the next thicker bearing, depending on where you were to start.

The advice about resizing your rods is good, however, if they need it.

Here is the recipe for figuring out your needs. If you have measuring tools, you do it yourself. If not, the machinist.

1. Measure the rod journals to within 10,000th of an inch.
2. Determine what size rod bearings you have now by looking for the color mark or better, measuring them with a ball-end mic or snap gage.
3. Put them in the rods and use an inside mic or dial bore gage to measure the big ends of the rods between the bearing surfaces, after tourqing to spec.
4. Subtract the measurment of the rod journal from that number.
5. Subtract the amount of bearing clearance you need based on repair manual specs.
6. Divide that number by two.

This gives you a bearing thickness and most people use the Lasky chart I have pasted it below. If it turns out your clearances call for green size bearings, you can buy standard aftermarket bearings like ACL, as green is standard. I have measured the ACL standards and they are within the green oem spec.

BC = bearing clearance
IDBT = inside diameter of bearing tunnel (housing bore)
ODC = outside diameter of crank journal
BT = bearing thickness

Main Bearing thickness by color
Blue 2.013-2.010 mm 0.0793”- 0.0791”
Black 2.010-2.007 mm 0.0791”- 0.0790”
Brown 2.007-2.004 mm 0.0790”- 0.0789”
Green 2.004-2.001 mm 0.0789”- 0.0788”
Yellow 2.001-1.998 mm 0.0788”- 0.0787”
Pink 1.998-1.995 mm 0.0787”- 0.0785”
Red 1.995-1.992 mm 0.0785”- 0.0783”

Rod bearing thickness by color
Blue 1.510-1.507 mm 0.0594”- 0.0593”
Black 1.507-1.504 mm 0.0593”- 0.0592”
Brown 1.504-1.501 mm 0.0592”- 0.0591”
Green 1.501-1.498 mm 0.0591”- 0.0590”
Yellow 1.498-1.495 mm 0.0590”- 0.0589”
Pink 1.495-1.492 mm 0.0589”- 0.0587”
Red 1.492-1.489 mm 0.0587”- 0.0586”