Adept wall jumpers are able to beat this map without the shaman's help, though wall jumping with the cheese is harder due to its weight.
If you are not a good wall jumper, wait for the shaman to help you.
As the shaman, block the hole at the start using a large plank, large box, or simply a cloud if you have the Cloud skill, in order to prevent mice falling into the hole and dying.
Jump down to the platform with the cheese and build a ramp.
Alternatively you can place 1-3 springs if you have the Spring skill.
This is an easy method, though inexperienced mice might fall to their death, so be sure to block that hole as well, the same way you blocked the hole at the start.