Conditional logit regression -solved using cox regression

Do you have any resources or good inspiration for an implementation based on mlogit/polr? The infrastructure has been developed for those so I suppose it would only take some flavor syntax,

@formula(response | options ~ id | explanatory variables)

Maybe something like that where the table looks like (for the cmlogit)

outcome option id price income
true    train  1  $50   $60,000
false   flight 1  $500  $60,000

Then we would only have to adapt the objective function (conditional log-likelihood) and compute the gradient. For ologit, I had to use a trick for the AD to work properly (inspired on the MASS implementation).