Wow. It must be the time of year or the harsh winter because I can't think of any other reason why there are SO many threads out about bad boarding barns right now! SO messed up... I've seen horses taken away by rescues in that situation. If you want to stay at that barn and can handle the sight of other people's horses not being taken care of (your old barns rules don't sound great. It's YOUR HORSE and YOU ARE PAYING FOR BOARD. You have the right to your horse being properly fed, using the arena, and if you want to give your horse a treat or pet it, well once again THAT'S YOUR HORSE!) if I were you I would go for a full self-care situation. Self-care to me means that you are just paying for the space your horse takes up (stall and use of facilities). You buy your own feed, you feed, you muck (possibly have to buy your own shavings), you do everything. That's the way they do self-care at all the barns I've been to. It tends to be a lot cheaper as long as you can get out twice a day to take care of the horse.
If I were you, I would check craigslist for private boarding at private homes instead of commercial boarding. It can be SO much better, as long as the owner won't kick you out for clipping and blanketing your horse like mine did ;)