Is it normal to pronounce a true T/D with an American R instead of using a flap T?

I’m an English learner who has chosen the American accent, but I have a hard time pronouncing the flap T/D.

Especially when it follows an American R, like in “order” and “party.”

Because of that, in most cases I pronounce a normal T or D instead of a flap T.

I mean pronouncing “party” like “par-tee” instead of “pah-tee” (British style) or “par-dee” (American style, where the “d” is a so-called “flap t”).

For you, as a native American English speaker, if you heard someone do that in their speech, would it sound weird, or would it sound natural to your ears?