You illustrated a good point - This is a business and right now, your family is in the business of trying to put your daughter in the best possible recruiting position. You must make the best business decision with regards to Nationals.
I would request a meeting with the club director one more time and express your expectations for Nationals. Clearly explain that a number of collegiate programs (and have these programs listed) are actively recruiting your daughter and there is concern that in recent tournaments, she was not playing.
In an effort to provide the best evaluation opportunity for your daughter at Nationals, you are requesting that, she play at least one game per match. Reference the fact that she was playing all the way around earlier in the season, and she has the skill sets to be currently recruited by lower DI and upper DII programs. You are requesting a minimum of 1 game per match, so you can communicate to collegiate coaches that she will play each match, so they know when they come by the team's court, she will eventually play. You are not asking her to start, just have the opportunity in one game to demonstrate her skills to collegiate coaches.
If the club cannot accommodate your request, then I do think it would be better to re-allocate that money towards attending the camps of your best interactive schools and/or join a sand league or obtain private lessons to target specific areas of improvement.
Not being on the court at Nationals is not a recruiting elimination situation, but it will make coaches wonder why, especially when they are getting their last look before summer.
If you do attend Nationals, and your daughter ends up on getting the playing time hoped/requested, then she needs to make warm-ups her match. She needs to go full tilt in warm ups to demonstrate her skill sets to the college coaches at the court. Any number of college coaches like to watch warm-ups because it allows us to quickly get a look at what that team has; if your daughter is flying and banging balls, then she will grab the attention of these coaches. College coaches do know that club volleyball can be a political animal, which is one reason we watch warm-ups, so we can see all the players!
Good luck and communicate with the club director, then make your best decision!