Are you asking if I can tell if it was originally a 99-H from the serial? The answer is "no". Might tell from good photos of the rifle.

The earliest Barrel Band 99H I have in my data is in the 330xxx range.

The earliest .250 Barrel Band 99H I have in my data is in the 342xxx range. (About 60 later than yours...I found a note on your rifle in my data. We weren't sure at that time if it was a 99-H. Different butt stock and front sight.)

Did you check to see if the wood was serialed to the rifle?

Savage...never say "never".
Rick...

Join the NRA...together we stand, divided we fall!