At some point, you knew you’d be asking for more than the standard hs LoRs. That’s when you could have discussed their willingness and availability to do more. Any one or two of them may not mind, at all. But you’d have lined this up.
It sounds like you’re now scrambling to come up with new recommenders. In general, an LoR should be a plus, from someone who can support you- not just anyone you think you haven’t bothered too much, so far.