I have HC, micro sword, a crypt wendtii and some ludwigia in my 2.5 gallon.
I think it would be best for you to have some kind of fast growing stem plant in there, and maybe some duckweed to help fight the initial algae you will get. Even with duckweed and ludwigia in mine, I am just getting over the horrible thread algae problem I have been having (the tank is about 2 months old). It covered everything, and my cherry shrimp wouldn't touch it. I put an oto in there from my other tank after a month and a half of hell trying to clean it out every day, overdosing excel, and nuking with hydrogen peroxide. I would highly recommend either stem plants, cherry shrimp, or an oto or two.
That being said, the micro sword looks great but it grows in reeeeeeeeeeal slow, slow enough for me to regret not getting dwarf hairgrass instead. It accumulates lots of thread algae and oedegonium. You'll need to split it up into plantlets and plant each one individually.
The micro sword and HC are going to need CO2/Excel and ferts. My HC didn't even grow until I upgraded my lighting to about 5 wpg and started dosing trace nutrients.
Even if you really don't want to do it, DIY lighting on a nano will cost you about 10 bucks if you already have the tools on hand as opposed to 30+ dollars. It's really worth it.