1- truing won't make it weaker, in fact you should look at getting it trued by a proper wheelsmith and you might find it's plenty strong for your purposes.

2- no an aerospoke won't be super strong for abuse, can't be trued and isn't a great choice for your applications.

3- a sun CR-18 laced 36 spoke 3-cross will be extremely strong. Like indestructibe strong