You have indoor duel meets? I'm really sorry, that sounds terrible. We run at most 4 meets indoors and have several kids that don't race at all.
I get into the same issue with XC we have 3 mid week jamborees. My top 2 girls win the league by 30 seconds anyway so I usually have them pace some of my slower kids for 2 miles(generally close to tempo pace) then let them loose the 3rd mile and my top girl always gets back to first and my 2nd usually gets back to 2nd.
Sure at first they aren't pumped about this but I've used these methods to convince them.
1. Explain to them that this is what's best long term and that it doesn't matter if we run 18:20 in mid September if we still run 18:20 in November(state meet), much rather do stuff to helps us improve and run 18:05 there.
2. Encourage them that they get to race most of the weekend races and they will have extra energy for these which are more prestigious and will have more competition.
3. They really like being able to help their team mates, so getting to run a couple miles with other girls and help them PR.
In track I avoid racing kids in duel meets in less it is the 1 or 2 that we will have to try to win. Generally we can win with sprinters and field events(who need the work). Sometimes will do a speed day for distance 4x8, 400, 800, 4x4.
Now this all works cause I am the head coach and am also pretty thick skinned and don't care what parents say or think. Your going to have parents complain a ton and some will understand when you explain it to them, but there will be a few bad ones that don't and they will try to make trouble. Good luck with them, the only thing that makes them better is their kid graduating. The funny thing is they always start off by saying "I don't want to be that parent." which is always a precursor for turning into "that parent". If your head coach isn't ok with it and you've already explained it to them and had a conversation about it I'd assume your SOL then.