It sounds like you've been doing link removal manually. That's all well and good. You should manually inspect inbound links. There are quite a few that jump right out, like easylinkseodirectorygooglerankings4ulol.com.
Though there isn't any easy 'yes' or 'no' to this one, especially without knowing the site. So with my bed-wetting white hat on, I would say; "Cleanse and burn - scorched earth, sir." With my realistic hat on, I would say; "Don't go terribly overboard. Really think about what you're doing. Sure the pure spam should go, but be careful."
The interesting thing is that Google has to pick The Best of The Worst. Travel can be a particularly spam-ridden vertical. But I would look into backlink profiles for competitors in your niche - say African Safaris. Round them all up.
Know that your sources of backlink data are flawed. A lot of spam sites have started blocking popular backlink data provider's bots. That means you have to crawl all of your 'deleted' links while spoofing Googlebot. You can do this with Screaming Frog. It also makes Google Webmaster Tools data more important, even though it's lacking in volume. Robert Fisher and his team at drumBEAT caught this skulduggery.
Get all of the backlink data you can. We're talking Majestic SEO, Ahrefs, Moz OSE, Google Webmaster Tools, Bing Webmaster Tools and The Kitchen Sink. Seriously, get all of the backlink data you can. Throw them all into a spreadsheet, then eliminate duplicates. Just know that it's a big internet and you will never have the complete picture.
While it's kind of an expensive tool, you should more than likely go with Cemper Link Detox once you have your master spreadsheet. It will give you a pretty solid understanding of where the site stands in general. From there, you should manually review each link. There are false positives and false negatives, but the tool is getting better all the time.
If the tool states the site has a Risky or Toxic profile, then you will want to start looking at a prudent disavow list. Removing bad links is great, if you can, but it's not entirely reasonable nor is it expected.
But if it's not saying your backlink profile is Toxic or Risky - you definitely have other problems. Still, you should always try to earn quality backlinks. Here's a great guide from Moz if you're not sure where to start.
You can also use Cemper's tools to get some good ideas from your competitors.
Man, that was a screed.
TL;DR:
Definitely get a better idea of where your backlink profile stands from a top level perspective. There are tools that will get you there. When you know where you really stand, you will know your priority.
The next Penguin update may be a long time away. It may come tomorrow. Take some time while you're getting all of this together. Then do a content audit on your site. And use the link building guide to move forward. (I slipped that ginormous sucker in there at the end... XD.)