Urriak Uruk
Gaming is fun, and fun is for everyone
Did you use the material for Dragon of Icespire Peak? It uses the same region and adds a bunch of sidequests that can be plugged into LMoP.
And even more, the box set comes with a code to redeem high level content on Beyond that comes after the storyline of LMoP and DoIP (up to level 14, IIRC). All in the same region.
I second this. Although there is some overlapping in levels, some of the Dragons of Icespire Peak encounters go beyond 5 into level 7. Once you've done that, you can then use the free adventures included in D&D Beyond.