Talking about personal consumption:
You can save any meat by washing and freezing immediately (stops the bacteria). Just make sure the water doesn't contaminate any parts that you're not freezing.
Roe meat is also so tender that no hanging is strictly necessary. I think personally I'd wash the inside while suspended, cut out and freeze (or eat) tenderloins. Depending on situation try to cut out and wash neck, front legs (or meat from front legs) and freeze immediately. Next day cut out loins and haunches, decide whether to use, freeze or put into vacuum and fridge for some days (and then use or freeze).
If you want to be double sure, mark the freezed bags so you can prepare to do extra inspection when using them (basically preparing to bin them if there's dubious smell).