Not by ASSRA Rules! Not legal!

if I understand it correctly you could shoot the Dell-Hudson 100 shot offhand 200 yard match with a 22 rimfire if you wanted to.  its just that the score would not be enterable. 
 
HOWEVER---At the EtnaGreen Fall and Spring 22 rimfire-only matches we pretty much shoot the full run of regular matches both at 200 AND 100 yards (on the scaled down targets at 100 of course).  I believe you should be able to shoot an official 200 yard 100 shot match there in competition.  You would not be shooting shoulder to shoulder with the centerfires within a centerfire match but you could see how your scores compared with other matches. 
  I have been told that next year the RF-only matches will be shot on Friday in addition to the Saturday/halfday Sunday of the past few years.  (we have had unofficial side matches on Friday on occasion if attendence merited it).  An extr full day of shooting may make it worth while for some to make the trip who have been reluctant to spend the time, trouble, and $$ for no more than a day and a half of shooting.

1st, you might do a search here on the ASSRA site for other posts on this topic.  It has come up before and been discussed at some length in the past.

2nd then if you want to make a well reasoned out suggestion to the ASSRA BOD you could address them in writing.  However it probably would get sent to the Rules/competition committee for their evaluation and referral back to the BOD as a whole.  It might simply be more efficient to make your suggestion directly to the members of the Rules/Competition committee to start with.

JMHO now.

  I suspect that with the success of the 22rf only matches as well as the increasing number of shooters who do use the 22s in the regular matches where they are permitted (22 single entry 200 yd BR, 100shot 100yd OH miniHudson, and the 50yd offhand matches) that they would be reluctant to open up the standard centerfire matches to rimfire rifles.   At the EG shoots I have seen more than just a few shooters initially showed up for the 22 matches who then start participating in the regular centerfire matches with appropriate equipment.  I'd guess that they figure that the current program seems to be doing what they hoped it would and want to let it run as is for a while before making any new substantive changes in the program

As to using the 22rf within centerfire matches.  At least at EG I just don't see it as a real practical thing.  WAY too often during the regular centerfire matches you can only shoot a decent 200 yd single entry BR 22rf if you catch maybe the 1st relay of the morning---and early in that one.  Otherwise wind and mirage are just too big a obstacle. Usually there is just enough of both to kill any hope of doing well with the 22rf, but not enough to mess up the guys shooting the bigger heavier centerfires.
Now during the 22rf-only matches it doesn't matter as much since we are all playing on a reasonably level playing field

What boats said!! 

Froggie