Thank you for reaching out to us. Mazal tov on the recent birth of your baby!
It is totally normal for a woman to be interested in stopping the
harchakot and engaging in light affectionate touch shortly after giving birth, but to need longer to be ready for sexual intimacy.
Halachically, it is fully permissible to immerse just for the purpose of physical contact other than relations because this is considered a mitzvah as well (Shach YD 197:3). The couple are still expected to be careful regarding
hotza’at zera levatalah (spilling of seed).
Please let us know if we can be of further assistance.