I've spent a fair whack of time in the LMC with a 16" dob under good dark skies. Virtually all of the objects labelled on my charts at Clouds of Magellan
are observable with a scope 12-16" under these conditions and really the bulk of them with scopes 8-10". Only some of the SNRs are labelled as such as the classes of objects I took from the NGC/IC project web site which does not always label them as such and also Mati Morel's presentations of the Henize and Shapley Lindsay catalogues which don't explicitly refer to SNRs. My site has links to these catalogues
Alex has kindly put me on to a catalogue of SNRs and putative SNRs which I'll add to my site tonight.
My site also has PDFs of observing notes by Steve Gottlieb, Mark Johnston, Rob Kaufman and myself to give you an idea of what things look like at the ep. I am gradually changing the labels on the charts to links to notes for that particular object and DSS images and some web links related to it.
The notes linked so far are mostly mine, by I am gradually adding others to these.
Hope this helps.