A single person can give 2300 for the primary fund and the same for the general election fund. That person could also send equal amounts in the name of spouse and children. There are rules about kids donations: must be the kid's money(or trust fund), must not be reimbursed by the parent, and must be made knowingly and voluntarily... In other words, yeah, sure, who's gonna check?
So, hypothetically, a wealthy supporter could give 4600 themselves, 4600 for their spouse, and 4600 x their 3 kids = total of $23,000. Then they could also give $65,000 per family member to PACs and state and national party committees, and the PACs are the ones running most of the TV ads anyway.
So if someone quite wealthy was determined to max out, they could give $350,000 through their hypothetical family for every 2 year election cycle.