I'm curious about states that use conventions (or any other non-primary system) to nominte candidates. Afaik, Utah used to be convention only (if one candidate got 60% of the vote or more), but a newish law requires an alternate means of appearing on the ballot. Colorado also seems to use conventions to select a few candidates to appear on the primary ballot. Are there any other examples?
A side note about Utah; the Utah GOP are fighting an internal civil war over it. The party officers are chosen by delegates, so to please said delegates, they've sued the state, governor, legislature (all controlled by Republicans), and anyone they can. They have threatened to refuse the right of signature-gathering candidates to be listed as a Republican on the ballot, they've toyed with altering their by-laws to automatically endorse a candidate who goes convention only over a candidate who uses signatures, they nearly topped the governor who signed the new election legislation into law...
The funny thing is, depending on who you ask, their antics could disqualify dozens of Republican candidates, could disqualify them as a qualified political party, could do all sorts of things. Frankly, if they got what they wanted, some ultra-Republican districts could have ended up without a Republican on the ballot.