Here's what rhymes with homestatic.
static hepatic somatic thematic ecstatic erratic pneumatic asthmatic fanatic operatic homeostatic spermatic thermostatic photostatic dramatic automatic dogmatic emphatic schematic traumatic enzymatic metastatic prostatic rheumatic cinematic magmatic orthostatic schismatic stigmatic aerobatic systematic aromatic climatic pragmatic symptomatic autocratic enigmatic hydrostatic lymphatic aliphatic chromatic kinematic prismatic idiomatic muriatic phlegmatic theocratic zygomatic acrobatic astigmatic numismatic unemphatic homoeostatic democratic diplomatic aristocratic pancreatic asymptomatic charismatic axiomatic emblematic psychosomatic achromatic intrahepatic unsystematic semiautomatic undramatic nondramatic bureaucratic problematic melodramatic programmatic diagrammatic posttraumatic technocratic antidemocratic epigrammatic meritocratic panchromatic plutocratic undiplomatic unidiomatic electrostatic idiosyncratic monochromatic paradigmatic diaphragmatic undemocratic unproblematic nondemocratic Words that almost rhyme with homestatic
magic tragic sporadic nomadic pelagic syllabic apparatchik priapic disyllabic monosyllabic polysyllabic panic tactic spastic tannic traffic plastic metallic ceramic drastic frantic lactic manic synaptic phallic italic satanic mastic tyrannic dynamic classic elastic fabric fantastic gastric gigantic graphic semantic monastic thoracic catholic didactic dynastic mechanic oceanic stochastic cephalic messianic nostalgic pedantic thalamic aplastic clastic titanic isobaric slapstick ataxic botanic malefic baldric organic romantic psychiatric scholastic volcanic barbaric hemorrhagic inelastic neoplastic pediatric sarcastic galactic geriatric glutamic ophthalmic panoramic tympanic gymnastic haemorrhagic heraldic psychopathic splanchnic thermoplastic bimetallic bombastic orgiastic paediatric matchstick phonographic enthusiastic geographic inorganic photographic thermodynamic climactic galvanic hemodynamic postsynaptic presynaptic anaphylactic hyperplastic hypoplastic tomographic nonmetallic unromantic biographic neoclassic osteopathic periphrastic sycophantic nonelastic demographic cytoplasmic ethnographic hypothalamic prophylactic aerodynamic ecclesiastic endoplasmic pornographic psychodynamic telegraphic topographic transatlantic holographic lithographic orthographic viscoelastic chiropractic oceanographic stenographic typographic xerographic seismographic radiographic chromatographic hydrodynamic stratigraphic angiographic cartographic iconoclastic iconographic intrathoracic protoplasmic unenthusiastic autobiographic calligraphic choreographic intergalactic interscholastic transoceanic overenthusiastic bibliographic cinematographic anticlimactic crystallographic lexicographic electrocardiographic electroencephalographic