My short answer would have to be no. The men that you date WILL likely want to sleep with you, for example, so that is a tension of anticipation and longing on their part, and perhaps a tension of "By sleeping with him, I will betray my deceased husband," on your part.
Please feel free to date a man without sleeping with him ... or even giving in to his desire to see you every weekend, such as the case may be. Don't be scared off from dating by a few sketchy experiences. Instead, take it very slowly, stay within your comfort zone as far as intimacy, and above all, just have a blast while hanging out with your new friend.
In the beginning, keep your expectations low, and his too. You don't have to marry each other! Be upfront about your feelings that perhaps things are moving too fast for you or you feel pressured to (insert action here). I guarantee that any man worthy of your affection will understand completely, and even respect you more for it.