Unfortunately this outside contractors, single man shows, can be approved by insurances, but there is no way they provide the same quality of training and follow up services as the different manufacture approved 142 training centers. There instructors have the infrastructures, the feedback form operators around the world, and the imputes form the engineers. They can be used as great references even after the training. You don't want to learn some old personal techniques. You want the latest and greatest SOP.
I did an in house recurrent once, for a turboprop, but thankfully I already had the initial done at FSI. The experience was just a joke.
Tell your CP that for safety reasons it's much better to get trained in a sim, that the relation with a manufacture training center can actually save you money on the long run, and that is a good idea to hire one of their instructors, after the course completion, to give you guys OE in the real plane. Of course your CP already knows all that, but remember that this is currently a pilot market.