Indeed, there is. I don't like this particular way of removing the word "should" since it seems to ignore the unspoken "negative" bit, but I've played around with a similar exercise of removing "should" from my vocabulary so that I would have to speak the unspoken bit.
Constantly doing things that you don't want to do isn't a fun way to go through life. It's not effective at making good decisions either. The "I "should"/"have to" do this thing that I don't want to" frame presupposes that the alternative is realistic enough to yearn for but you're not doing anything about it!. If it's realistic, do something about it. If it isn't, shut up and be content. Shit or get off the pot.
I can make any choice available to me. My actions have consequences though, and I can't fulfill all of my desires. Of my choices, which do I want? Of course I can eat healthy, but that means I can't eat junk food. If I have to consciously force myself to be excited about eating healthy, maybe it's because I like junk food and I'm not thrilled about giving it up.
Once I can verbalize that unspoken wish to eat junk food and eat healthy, then I can make my choice and feel like I'm doing what I want to do (without "will power" or nagging thoughts).
So that's why/how I try to minimize my use of "should". Of course, it takes a bit of time and so for trivial matters I just shrug it off and say "opportunity cost"
Here is an interesting exercise. Whenever, you have a 'should' statement, see if you can change it to a 'can' statement, and notice being more empowered. Examples:
Not, I should be grateful. Instead, I can be grateful! [To clarify, I mean that being grateful is something that will make you feel good. As an analogy, if you have tasty cookies lying around the house, you will say to yourself: "well, I can certainly get cookie."]
Not, I should leave a generous tip. Instead, I can leave a generous tip! [As in, you can leave a generous tip and feel good about it.]
Not, I should donate to charity. Instead, I can donate to charity!
Not, I should loosen-up sometimes. Instead, I can loosen-up sometimes!
Not, I should keep in touch with old friends. Instead, I can keep in touch with old friends!
Not, I should learn to program. Instead, I can learn to program!
Not, I should eat healthy. Instead, I can eat healthy!
The general pattern here is that, instead of making the activity a moral duty, you can make it something fulfilling which you choose to do because of its benefits.
For 'should not' statements you can substitute: 'I choose not to.' One example (you can make up more):
Not, I should not eat refined sugar. Instead, I choose not to eat refined sugar.
I'm sure that this procedure doesn't always work and you can generate counterexamples. I have not done them here. Please share your examples (counterexamples).