I wouldn't think the nature of the conviction is the issue but that's just my opinion. A thread about
Mexico was recently deleted but basically someone was stopped entering Mexico at Cancun and put on the next plane back, and the only reason they could think of as to why this happened was that they'd applied for a US visa and mentioned their conviction, so they suspected the USA had told the Mexican authorities.
I went to Mexico last year without any problem but I deliberately went via Europe not USA (as then you have the visa waiver/visa disclosure issue) so as long as you don't go via USA I wouldn't see any problem.
As for Dominican Rep no problem see last FAQ https://www.dominicanembassy.org.uk/FAQ.html[url]
Post Edited (forever changes) : 21/06/2014 00:30:28 (GMT+2)