I agree with Tracey - co sleeping the way to go - you will naturally control the temperature and baby is more likely to settle. We still do this with our five year old when it's to cold - she's all elbows and knees but we're all toasty
There is no way I could have gone anywhere at 4 weeks - too anaemic, and an uncomfortable milk bar

Also at that stage to settle her at night she needed hours of walking around - not just a shuffle round the van

But they are all different- so could be worth a try. Certainly got friends who went off in a tent with a 7 week old in July and they managed. Enjoyed wasn't a word they used
