Good for you for trying to eliminate tv from your baby's life. It's definitely the right thing to do for her brain development (tv watching actually changes brain development so that the brain becomes more passive)
Also, if you don't create the tv watching habit, you will be so happy about it when he's older- speaking from experience, my teenage stepdaughter was raised as a tv watcher, and all through her childhood tv was her preferred activity- it was a battle to get the tv turned off, it was always what she would choose over other activities. With our younger two girls, my husband and I have chosen to raise them without tv. We put our tv in the basement, and as a consequence, we rarely watch it. Out of sight really seems to mean out of mind. Our 4 year-old NEVER requests to watch tv. In fact, when she;s sick, I practically have to force her to lay on the couch and watch a DVD. Once we got out of the tv habit, it was easy- now I can't imagine having tv in our lives, we are so busy playing, baking, drawing, reading, etc. that we wouldn't even have time for tv!
That said, I can totally relate to what you're going through right now. I was home alone with my first daughter too, and your son is right at the age when the days seem SOOOOOO long. Between 6 mos and 12 mos things seem to pick up a little as they start being able to do more things. But at 5 mos, they are still aren't doing a whole lot, you can't even really fill your time with eating yet! But remember, things will change quickly!
But in the meantime, I found it helpful to think of my day in terms of blocks of time and sort of "organize" it that way, (for my own sanity). So for example, between breakfast and the morning nap would be play on the rug time- playing with toys, reading books, tummy time, listening and dancing to music, singing songs, exploring the house (feeling different textures, pointing to things and naming them, "flying" through the house, etc.) Then between morning nap and afternoon nap we would usually get out of the house- go on errands, go to a coffee shop that had toys, grocery shop, library, go to a baby play park, etc. Between afternoon nap and dinner might be outside time- go for a walk or to the park or hang out in the yard.
Have you found activities around your neighborhood yet? Baby story time at the library, play parks at the community centers, etc? (not sure where you live) Do you know any other mom friends that you could get together with? That was a lifesaver for me- just having one or two moms over, spread a blanket on the floor with a bunch of toys, and having some adult conversation was awesome. There's also some great books out there with ideas for baby games, songs, fingerplays, etc.
To get my chores and meals done, I would usually put mine in the bouncy seat so she could watch me. I would talk to her and sing to her while I got dinner ready. Lots of times she was too fussy though, and then I would put her in the Moby wrap or the Ergo and "wear" her while I made dinner (being careful of the stove of course) and there were lots of times when both daughters were too fussy even for that, so I would pull something out of the freezer and microwave it! At every hard stage I just always try to remember that it won't last forever and that I can only do the best I can and no more. But I am constantly happy that we eliminated tv from our lives. Even in the most difficult moments, I am still thankful because now, at 4, my older daughter can create her own imaginary games to entertain herself while I make dinner. She also entertains my 18 mo old too! And when the little one is a bit older, I will have them help me make dinner.
Sorry this is so long!! It sounds like you are doing a fantastic job with your little guy. It can be SO hard, but remember you're not alone. And time passes quickly- he'll be running around before you know it and you won't be able to believe you once wondered how to fill up the day!