Frankly, like every other substance that some of us choose to put in our bodies, you really need to to A LOT of research before taking stuff. I mean your not even taking it at night. Your taking it in the morning and after your workout, so it might be effecting your sleep at night. Taking it before bed will spike HGH and cause quality deep sleep. ONLY taking it in the morning and afternoon may be causing your nighttime natural HGH spike to be reduced effecting your sleep.
Furthermore, like chicken_hawk mentioned, your probably should switch to a different GHRP like GHRP-2 or ipamorelin. From what I've read GHRP-6 increases the hormone CORTISOL more so than other GHRPs. This may also be a reason for your "sick... groggy" feeling. High levels of cortisol can cause chronic fatigue and also make you feel sick and depressed. So it may be a good idea to switch to GHRP-2 or ipamorelin. They don't effect cortisol as much as GHRP-6 does.
Lastly, like chicken_hawk also mentioned, to really reap the benefits of the HGH spiking peptides and to get your moneys worth you NEED to take Mod GRF 1-29 or another GHRH with your GHRP. They work synergistically. For example, 100 mcg of each together (200mcg total) will cause a larger HGH spike than 300 mcg of either one alone.
I've been using both Mod GRF 1-29 and either GHRP-2 or Ipamorelin for some time. They work amazingly together. I take 100mcg of Mod GRF 1-29 and 100mcg of GHRP-2 or Ipamorelin together for a total of 200mcg three times a day. I take morning, afternoon/after workout, and at night. Better sleep, more aware during the day, more energy, and better workouts.
Also, they really are one of the reasons I've been able to hit the gym hard again. They really helped to heal up many of my lingering injuries. Injuries like tendinitis in the elbow, knee issues, and back issues.