There will be no problems. The finish is very tough after 24 hours and you will see no difference in the curing after 48 hours.
We now leave our bows sit for at least 24 but usually 48 before sanding for last coat. The finish will sand/chalk up real nice as you sand. It is a little tougher to sand, but you won't leave any residue or smudging this way. Just a nicer overall result.
Heating the bow slightly will decrease cure time and won't affect anything...too much heat and it will dry out the wood though. This can cause an issue and if the wood is a little wetter than desirable, may result in a crack.
BigJim