Please don't take this the wrong way but I take it that this is your first Boxer and perhaps even puppy?
Put the idea of not crating out of your mind! This will save you years, yes YEARS of issues (potentially)!
There is just no possible way that you can keep your eyes on them 24/7. Even if you are home you still need to take a shower, go to the bathroom, get something from a different room, answer the phone, answer the door, get the mail, etc...You also have to leave the house at some point....grocery store, bank, other errands, out to dinner, etc...
Crating is the optimum choice even though *some* dogs don't adapt well (mine didn't) but if they don't work you can move on to plan B but at least consider utilizing a crate (most dogs like their crates). You'll be glad you did even if you don't realize it at the time. Also, if truth be told YOU will need an "escape" from a Boxer puppy at some point!!
My first Boxer was not a problem at all using her crate and was 100% crate free by 9 months of age (it was still available if she wanted to use it and she did throughout her life, minus the door being closed).
Enter Raine....who thought that a crate was a torture chamber and once in was fine but if the door was latched she went berserk in a nano-second and the potential for her to cause injury to herself was high (did hurt her nose once). I spent hours upon hours for many weeks in an attempt to acclimate her to the crate and eventually did make it to where she would happily go in and the door could be closed but not latched. She was always IN the crate when I returned home but the door had been opened. I don't know if she actually left the crate or just opened the door while I was gone but like I said she was always in it upon my return.
Crate was in my kitchen on a throw rug which was turned upside down which made for ease of movement. I moved the crate into a doorway to block off access to a room. I closed a door to another room to stop access there and finally a baby gate to block another area. Kitchen was puppy proof as much as I could make it. You can't get rid of everything! Some dogs chew legs of chairs & tables, door frames, kitchen cabinets!
I never used a crate at night for Raine. She loves pillows and I would put one on the floor directly in front of and up against the couch in my family room and I slept there pretty much until she was big enough to get on the furniture on her own. I never bring pups up on the furniture before the are big enough to get there on their own since getting down can be a problem for little ones.
While all of the crate decisions are being made you can't forget about the training of so many other things come into play. Teaching them what is theirs and what isn't has to be done on a daily basis. You will forever be chasing after them to get something out of their mouths! Boxer pups are persistent if nothing else. They WILL always find something to do, get into, attempt to destroy, etc and humans must eventually close their eyes!! A little 15 pound cute as a button puppy can and will beat you down. It is just a matter as to when they do it.
At least try a crate. It will be one of the best things you can do to help your pup on many levels and one of the smartest choices for the humans in the house.