Trouble with weightlifter type belts or any kind of support is it doesn't allow you to strengthen the muscles that are causing the problem. It may help but it's not a long term solution.
Back and core strength and conditioning exercises will work better. Try this for 4 to 6 weeks -
https://orthoinfo.aaos.org/globalass...ehab_spine.pdf
It's a super programme and really works. Also see a sports massage therapist to aid the programme. I fractured 2 thoracic vertebra 4 years ago (I have never know pain like it) and this is what got me back to running. Strength and Conditioning is the key. Good luck and congratulation on your lifestyle change, that is brilliant.