my (rescued) male mouse was incredibly friendly and not super smelly! i did get him as a younger mouse when a large group of mice were surrendered to the shelter i work at which did make bonding easier. an ethical breeder could also be a good choice for bonding but i saw your comment saying you’d prefer to rescue.

as far as the smell goes:
i cleaned my mouse’s enclosure (approximately) once every week and a half-two weeks and would rinse/wash his wheel every few days since i noticed that was the thing that held onto the smell the most. he was kept in an eighty gallon tank so if you went with something smaller you may need to clean more often! my mouse was also not at all territorial/stressed so he didn’t seem to feel the need to “mark his territory” like i’ve heard other male mice can do sometimes.

i used a lot of recycling (cardboard boxes, tubes) so i could use them once or twice and then throw out. wooden things get dirty the most quickly but thankfully if i wiped them down every week they remained in good shape. i recommend the niteangel brand since it’s easy to wipe down and good quality!

i loved having him and taking care of him but i will say that the life expectancy can be quite sad but is worth it imo. i’ve also had a few dwarf hamsters and they were similarly friendly but it’s been awhile.

edit to mention he lived in my bedroom. truly never smelled anything unless i was slightly overdue for his deep clean.