linux - Workaround for firewall that is blocking unsolicited traffic

I have AT&T wireless at my house for home internet. Where I am located it is rural and don't have many option's for ISP's. My goal is to be able to SSH back to my house and possibly view my security system. Can someone help me figure out the best way to approach the firewall that blocks all unsolicited connections to ports. I believe apps have the ability to get around this by connecting out, instead of listening on the port for incoming connections. I do code and could create something if someone could help point me in right direction of what to research.

I was looking into reverse ssh port forwarding, would that help with my issue?

router model: WG3526 DMZ open to private IP.

NMAP ran on internal IP

Starting Nmap 7.40 ( https://nmap.org ) at 2019-04-17 13:48 EDT Nmap scan report for 192.168.1.157 Host is up (0.000051s latency). Not shown: 996 closed ports PORT    STATE SERVICE 
22/tcp  open  ssh
80/tcp open  http 
139/tcp open  netbios-ssn
445/tcp open  microsoft-ds

NMAP ran on external IP Host is up (0.038s latency). rDNS record for
166.216.165.110: mobile-166-216-165-110.mycingular.net Not shown: 996 closed ports PORT    STATE SERVICE
 25/tcp  open  smtp
 80/tcp  open  http 
 443/tcp open  https
 705/tcp open  agentx