Option 1
The best way to deal with Syria is stop trying to destabilize Syria and oust Assad and to let Iran, Russia and Assad do what they need to do to stabilize the country. Discretely put pressure on the other dickwads countries fighting the proxy war to stop funneling weapons and cash to the dozens of factions trying to ruin Assads day.
Once Syria is stabilized to a point where Assad has control, privately explain to him that he will be leaving one way or another and that a really nice, out of the way and private mansions awaits him in Iran or Rusia or maybe just a coffin at the hands of someone else. hen he says no, say lolz and walk away.
Option 2
Keep bombing everywhere we think Assad is, civilians be damned until we kill him. Have T-shirts made that say "US is great world saver!! Mission accomplished!!) Hold up big shiny object to distract everyone when Syria as civil war continues and various "Islamic brotherhood of Islamic stuff" factions try and take over the place. Work with other players to put former company CEO or soccer player in power for a token puppet government (We use rock paper scissors to decide). Spend next 10 years ignoring bombings and strife in country and use it too justify War on terror stuff.
Option 3
Break up Syria under Assads nose.
Let the Kurds have northern Syria (until turkey say 'nah son!!!" and creates a new headache)
Israel Jordan get a little border buffer. Watch Israel say "dats mine" to whatever they want after we tell them "chill bro. Don't touch that because you are going to give everybody a headache if you grab more land"
That whole western party of Syria will be retained for usage by the United States, Iraq...etc etc for showing off all our cool new weapons with a 20 year lease.
Then watch as Russia and Assad go broke. Laugh from a distance until civil war starts up again.
Option 4
Under the banner of some country song with an American flag and and eagle. Do some troop supporting war stuff and invade the country after providing Russia with a valet ticket for their dinky little base.
Mission accomplish our way to defeating Assad and ISIL and thanks troops for their service as we send them there for next 15 years for "War on terror".
Blame democrats for national debt and clearly state that spending trillions on entitlement programs is wasteful when we have critical need to fight civil wars for other people