Hi Morris
we welcome this idea, since we believe this is the right approach forward. This said, robustness and CMT-4 security cannot be reached with "vanilla" HCTR2 and any construction adding these on it is very expensive.
With my coauthors (that's the "we" above), I have extended the HCTR2 construction by using a collision-resistant hash for the AD and separate the computation of the tag from the rest. At the price of very few additional operations, we attain both full commitment and robustness. The security proofs are relatively simple and mostly follow existing ones. The paper is currently under submission, but the idea is to use a separate "HCTR" to create just the tag. We can post the document on the forum if anyone is interested.
best
Roberto