Your choice of chemicals is good. If the Kodak fixer has a hardener incorperated in it then best to use hypo clear to shorten wash times. My suggestion is a fixer without hardener. Also, recommend Edwal LFN for final rinse instead of Photo-Flo, much better product.
Shooting Tri-X at 200 would mean "pulling" development, less time in developer not more. Did you possibly mean Plus-X at 200? That would require pushing, and more developing time.
New Info: Tri-X shot iso 200--10.5min @20c, then using time/temp chart shows less than 5 min development time @21c. This is not recommended as any film developed less than 5 minutes could result in uneven development. (source:MDC)