if you keep up on the maintenance and you use ghost shrimps i can personally state they will survive the cycle. this is MY method that works for ME and I take no responsability if YOU don't have any success with MY suggestions :) *disclamer for sake of argument*
i would stock 2 SMALL ghost shrimps in there
1 betta only *don't over stock*
feed the betta 3 of them hikari betta pellets *the little baby ones* 2 x a day
feed the shrimp either 1 soaked sinking shrimp pellet or 2 tropical fish flakes every 2 days.
do a 10% water change every 3 day - 5 days.
fast your betta 1 day a week.
*i recomend testing for amonia, nitrItes, nitrAtes. amonia every other day till it drops. nitrItes from day 4 -5 until it drops. nitrAtes after day 6.*
bettas are not big waste producers so the water stays relativaly clean. the ghost shrimps are cheap and disposable so to speak. they will eat the bettas poop and that helps a bit with waste build up.
you can use betta flakes instead of pellets if you do don't feed your shrimp the flakes that get missed by the betta will be enough for them. i recommended the pellets cuz it is easier to under feed / feed with no waste. after your tank is cycled it is easier to feed the betta flakes as this also feed the shrimp with the messyness but for cycling i prefer the pellets.