Some of the points raised in a previous (slightly wider) discussion
https://www.pentaxforums.com/forums/10-pentax-slr-lens-discussion/217196-pros...ml#post2299603
My summing up from that post (and having owned a DA* and F*) are.....
So between the AF versions (I can't comment on the FA* because I haven't really used one) it's a choice of the F* and DA* - and to be completely honest you won't go far wrong with either of them
There is very little between the F* and DA* in the quality of the shots they can produce, I believe it comes down to a few small factors that may be important to you, these are:
WR - If you are likely to be shooting in the rain then the DA* is a clear winner.
Aperture - that extra third (?) of a stop may be important to you, but either lens is very capable at maximum aperture.
Size - the F* is more compact, important for travel?
Build - I prefer the build of the F* and I like the built-in lens hood (cant lose it).
AF Speed - the DA* should be significantly quicker (SDM) but I've never had a particular problem with either.
I still have my F* 300mm f4.5 and am unlikely to part with it any time soon - It is one of the best looking lenses ever produced by Pentax (IMO) oh yes... and Star lenses are worth their weight in gold, or pixie dust or hens teeth