I think the ambiguity of the term "template" is causing problems here. Looking at your id=60 page right now, I see three trailers down the right column for pages 63, 62 and 61, and the links take you to those pages. They happen to look exactly the same as each other, probably because you have put the Ditto call in a site template which you’ve attached to all these pages.
Pages 61, 62 and 63 don’t need a Ditto call to display the full articles, so they need a template without one -- whether they can share one with other pages depends on how you’ve arranged things elsewhere.
The term "blog" isn’t that well defined either - as I read it, you want trailers on your home page to lead to one of two pages that are themselves containers for the full articles. Each of those pages would have a Ditto call generating an index to its children. You’d have two Ditto calls on the front page, each restricting its display to one item using &total=`1` (so only the first item in your chosen order will be retrieved from the database). Your tpl chunk for the front-page items will have a static link to the relevant container for each category.
Letting page 60 stand in for the home page:
60) Home page with trailers to latest News and Reports
70) News folder
--71) news item
--72) news item
--73) news item
80) Reports folder
--81) report item
--82) report item
--83) report item
page 60 Ditto calls:
[!Ditto? &parents=`70` &total=`1` &tpl=`tpl.news.trailer`!]
[!Ditto? &parents=`80` &total=`1` &tpl=`tpl.report.trailer`!]
tpl.news.trailer includes:
<h4><a href="[~70~">[+title+]</a></h4>
tpl.report.trailer includes:
<h4><a href="[~80~]">[+title+]</a></h4>
page 70 Ditto call includes
&tpl=`tpl.news.blog`, linking to the full articles and defining the "blog" display as you want it
<h4><a href="[~[+id+]~]">[+title+]</a></h4>
If page 70 is the parent of the news articles, there’s no need to set
&parents, just specify how many to display, order, pagination etc. in the other parameters. Page 80 would have a similar call naming
tpl.report.blog as the chunk.
This structure means creating a number of pages and chunks, but you can see where you are with it. I’m sure it could be reduced down to fewer elements using tagging and smarter coding, but I suggest you keep it as simple and open as possible while you sort things out. I just hope it’s what you are looking for!

KP