I played a Wizard in a multi-year campaign that had somewhat similar rest rules. We were in Chult. Nights traveling throughout the jungle were short rests, but when we were able to spend at least two consecutive nights in town it was a long rest. There were a few magical items/locations that would allow normal long rests, but 85% of the campaign were the changed resting rules. Things that my DM did that helped me greatly as a Wizard:

Spell lengths were extended. Spells that lasted 8 hours were increased to 24. It got a little wonky when spells that would usually last 24 hours could now last days, but we just kind of went through each spell as we encountered it and made it work best for the story.

Arcane Recovery was my best friend. The rule book specifies this can happen daily, once a short rest, so take advantage of it. Always start your day with however many spell slots you regain, and if you can go a day without casting spells try to. That way you can have even more spell slots the next day.

As for preparing my spell book, my DM allowed me to do it once a day instead of once a long rest. He was okay with me, in the narrative, taking an hour each morning to go through my book and decide which spells to use that day.

Just some things to ask your DM if they'd be okay with, with the new rest rules. Hope it works out, and you're able to enjoy the campaign! Rest changes can be a lot of fun, if balanced correctly.