"Birds" are a VERY GOOD reason not to fly more than 250kts. under 10.000' Rainboe. Maybe you should start thinking about airmanship ?!?
Ever had a birdstrike with more than 250kts? I sincerely hope not as the result is not pretty.
If the procedure doesn't say that you can't do it, it is allowed as long as it is the safe option. voila! SOP's NEVER take priority over common sense and airmanship. NEVER and any proficient pilot knows this. Anyone not agreeing is a danger in the air.
About the speed bug: if you feel better to add these couple of kts., then by all means do so. For God's sake, don't these trainers have anything better to do than complain about these details which in no way affect the flight in a negative way?! STOP BEING PROCEDURE BITCHES!!!!! Yes, autothrottle function is protected, but the B737 autothrottle system is also weak(especially on the classic).