It is not weird and very natural of any writer, although I do not have such problem because I can draw to a degree.
However, if you are going to approach an artist for request (free) make sure they are open to it first because it is considered rude to ask for free things especially if you don't know them. If you are willing to spend money, you can comission an artist; many of them are willing to draw from description and even offer character designing services. The rule of thumb is always follow their term of service, consider what they can/cannot do, and be cooperative.
If you feel bad about your social skill or just want a rough placeholder, you can use avatar makers online. Particularly for anime style, the avatar maker compilation site Picrew gives you a range of choices and style. Be sure to read and follow the guidelines and terms of service of each avatar maker.
If you prefer to draw imagination from real people, you can use images of various models and celebrities as an idea of how your characters look like (to be safe, only as an idea, not actually use it). There are many Tumblr blogs and tags dedicated to faceclaims, you can look it up on Google too.
In the case of your character contains specific features of two or more different people, you can use Photoshop to edit them for easier visualizing. You can also combine faces of celebrities and use it as an inspiration.
http://www.morphthing.com/