In a sense, yes. Leviticus 5:2 condones touching a dead creature:
“‘Or if a person touches any unclean thing, whether it is the carcass of an unclean beast, or the carcass of unclean livestock, or the carcass of unclean creeping things, and he is unaware of it, he also shall be unclean and guilty.”
Relevant note that doesn't include deer
Leviticus 11:29-31 states that “creeping” creatures result in uncleanliness, but only until evening, so unless “evening” is an abstract term meaning “nearing the end of your life”, you’re only gross until tomorrow:
“‘These also shall be unclean to you among the creeping things that creep on the earth: the mole, the mouse, and the large lizard after its kind; the gecko, the monitor lizard, the sand reptile, the sand lizard, and the chameleon. These are unclean to you among all that creep. Whoever touches them when they are dead shall be unclean until evening.”
And the passages that mention sex with a creature, regardless of a heartbeat, include Leviticus 18:23. And as a bonus, their god is said to be talking to Moses with the intention of passing the message to all Israelites, it also slanders men being gay in the previous line (but as this was also to be delivered to women, I guess this implies rather that sexual acts suitable for a woman partner should never be done with a male partner.) :
“22 You shall not lie with a male as with a woman. It is an abomination. 23 Nor shall you mate with any animal, to defile yourself with it. Nor shall any woman stand before an animal to mate with it. It is perversion.”
Note that 18:22 is heavily debated because its been translated as male, but more nuanced translations decribe same-sex rape, not necessarily homosexuality as whole.
Is it sinning? Is there a specific prohibition in the Bible about dead animals?
In a sense, yes.
Leviticus 5:2 condones touching a dead creature:
“‘Or if a person touches any unclean thing, whether it is the carcass of an unclean beast, or the carcass of unclean livestock, or the carcass of unclean creeping things, and he is unaware of it, he also shall be unclean and guilty.”
Relevant note that doesn't include deer
Leviticus 11:29-31 states that “creeping” creatures result in uncleanliness, but only until evening, so unless “evening” is an abstract term meaning “nearing the end of your life”, you’re only gross until tomorrow:
“‘These also shall be unclean to you among the creeping things that creep on the earth: the mole, the mouse, and the large lizard after its kind; the gecko, the monitor lizard, the sand reptile, the sand lizard, and the chameleon. These are unclean to you among all that creep. Whoever touches them when they are dead shall be unclean until evening.”
And the passages that mention sex with a creature, regardless of a heartbeat, include Leviticus 18:23. And as a bonus, their god is said to be talking to Moses with the intention of passing the message to all Israelites, it also slanders men being gay in the previous line (but as this was also to be delivered to women, I guess this implies rather that sexual acts suitable for a woman partner should never be done with a male partner.) :
“22 You shall not lie with a male as with a woman. It is an abomination. 23 Nor shall you mate with any animal, to defile yourself with it. Nor shall any woman stand before an animal to mate with it. It is perversion.”
Note that 18:22 is heavily debated because its been translated as male, but more nuanced translations decribe same-sex rape, not necessarily homosexuality as whole.
https://blog.smu.edu/ot8317/2019/04/11/lost-in-translation-alternative-meaning-in-leviticus-1822/
The Bible includes passages that condone murdering a cheating wife, so maybe don’t use that as your yardstick.
I don’t know. Much like most modern day Christians I haven’t actually read it