Will GM 200r4 work with factory floor shift location?

You're certainly entitled to your choice of cross members. But if you're trying to save money like me you could easily tuck some 1" X 2" box iron (laying sideway) between the sub frame connectors because the factory trans cross member is about 1 1/2" tall so that leaves 1 1/2" of space plus the extra space between the exhaust pipes and the upper cross member. The box iron would only be 1" tall laying on it's side. But that's just me, I like to make stuff!!
The route you're taking would be easier.

Treblig