Baby gassy at night

My 3 month old doesn’t sleep well after her first nighttime feed. It’s very consistent, every night around 3am- she’ll sleep for an hour before getting really squirmy and whiny, then she cries and is almost inconsolable. It takes an hour to get her back to sleep then she goes through the same pattern two more times until morning. I think it’s gas because she kicks her legs up and arches her back. Sometimes when she cries really hard, she farts. Her tummy doesn’t feel hard though. I try my best to burp her after feeding but she hardly ever burps. Bicycles don’t help and just wake her up more. Is there anything else I can do? I don’t really want to try gas drops because she’s completely fine in the daytime, so I think it has more to do with our nighttime routine? Or could it be something else completely? 😞 TIA!