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