Hmmm.... have you picked up the Annemann book on forces yet?
THE PROBLEM: You have a long list of numbers you want to use and if you wish to use them in one setting, the fact that you are doing so is going to create reason for suspicion UNLESS you handle everyone involved in the same EXACT manner. To do this means you must stoop to using some kind of mechanical method unless you're willing to risk a miss or close-call type scenario on at least one or two numbers... even at that I'm a bit doubtful when it comes to results and how clean things are going to look.
RESOLVING THIS ISSUE: can easily be done via an envelop system such as the Ted Lesley TELEPORT which to me, is perfect for this particular scenario. Going with the previous setting, you hand out a dozen or so envelopes & cards, ask guests to jot down any two-digit number, place it into the envelope and seal it. . . Envelopes are mixed and handed to you or an assistant who then riffles through the stack allowing several different people to make a seemingly free selection. When the tops of each envelop is cut open by the participant, the number cards removed, you will have all required numbers in play and unless one of your guests are savvy to the method, you've completely clean. . . they can look into the envelope, it's only got the one slip, everything is sealed, etc.
Believe it or not, this is exactly what the audience will see; there's relatively nothing to hide. . . I say this only because however many envelopes you require for making your force must be marked in a way to allow you (or your helper) to quickly and easily identify them in the mix. From there, as you permit different folks to choose random envelopes, you are doing a classic force as you fan and riffle through the collection. Everything else is accomplished by the envelopes when they are CUT open. . . you must use scissors when opening the envelopes in order for the TELEPORT gimmick to work properly.
This envelope design is so perfect that the majority of working professional have elected to use it over most of the older, most common forcing envelope systems. I've been using them for well over a decade and they've never failed to deliver sure-fire bewilderment.
